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Finding the Fourth Proportional to 728.72, 1,005.99 and 497.06

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Solution

The fourth proportional to 728.72, 1,005.99 and 497.06 is: 686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.72 : 1,005.99 = 497.06 : x
  2. Step 2: Convert to fraction form
    728.72/1,005.99 = 497.06/x
  3. Step 3: Cross multiply
    728.72x = 1,005.99 × 497.06
  4. Step 4: Simplify right side
    728.72x = 500,037.39
  5. Step 5: Solve for x
    x = 500,037.39/728.72
  6. Step 6: Final answer
    x = 686.19

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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.