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Finding the Fourth Proportional to 829.20, 1,243.80 and 585.18

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Solution

The fourth proportional to 829.20, 1,243.80 and 585.18 is: 877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.20 : 1,243.80 = 585.18 : x
  2. Step 2: Convert to fraction form
    829.20/1,243.80 = 585.18/x
  3. Step 3: Cross multiply
    829.20x = 1,243.80 × 585.18
  4. Step 4: Simplify right side
    829.20x = 727,846.88
  5. Step 5: Solve for x
    x = 727,846.88/829.20
  6. Step 6: Final answer
    x = 877.77

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.