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Finding the Fourth Proportional to 710.29, 979.17 and 499.83

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Solution

The fourth proportional to 710.29, 979.17 and 499.83 is: 689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.29 : 979.17 = 499.83 : x
  2. Step 2: Convert to fraction form
    710.29/979.17 = 499.83/x
  3. Step 3: Cross multiply
    710.29x = 979.17 × 499.83
  4. Step 4: Simplify right side
    710.29x = 489,418.54
  5. Step 5: Solve for x
    x = 489,418.54/710.29
  6. Step 6: Final answer
    x = 689.04

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