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Finding the Fourth Proportional to 829.01, 1,243.51 and 281.23

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Solution

The fourth proportional to 829.01, 1,243.51 and 281.23 is: 421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.01 : 1,243.51 = 281.23 : x
  2. Step 2: Convert to fraction form
    829.01/1,243.51 = 281.23/x
  3. Step 3: Cross multiply
    829.01x = 1,243.51 × 281.23
  4. Step 4: Simplify right side
    829.01x = 349,719.23
  5. Step 5: Solve for x
    x = 349,719.23/829.01
  6. Step 6: Final answer
    x = 421.85

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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.