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Finding the Fourth Proportional to 729.74, 1,007.06 and 414.99

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Solution

The fourth proportional to 729.74, 1,007.06 and 414.99 is: 572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.74 : 1,007.06 = 414.99 : x
  2. Step 2: Convert to fraction form
    729.74/1,007.06 = 414.99/x
  3. Step 3: Cross multiply
    729.74x = 1,007.06 × 414.99
  4. Step 4: Simplify right side
    729.74x = 417,917.75
  5. Step 5: Solve for x
    x = 417,917.75/729.74
  6. Step 6: Final answer
    x = 572.70

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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.