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Finding the Fourth Proportional to 829.74, 1,144.85 and 498.06

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Solution

The fourth proportional to 829.74, 1,144.85 and 498.06 is: 687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.74 : 1,144.85 = 498.06 : x
  2. Step 2: Convert to fraction form
    829.74/1,144.85 = 498.06/x
  3. Step 3: Cross multiply
    829.74x = 1,144.85 × 498.06
  4. Step 4: Simplify right side
    829.74x = 570,203.99
  5. Step 5: Solve for x
    x = 570,203.99/829.74
  6. Step 6: Final answer
    x = 687.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.