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Finding the Fourth Proportional to 708.29, 976.29 and 560.64

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Solution

The fourth proportional to 708.29, 976.29 and 560.64 is: 772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.29 : 976.29 = 560.64 : x
  2. Step 2: Convert to fraction form
    708.29/976.29 = 560.64/x
  3. Step 3: Cross multiply
    708.29x = 976.29 × 560.64
  4. Step 4: Simplify right side
    708.29x = 547,347.23
  5. Step 5: Solve for x
    x = 547,347.23/708.29
  6. Step 6: Final answer
    x = 772.78

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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.