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Finding the Fourth Proportional to 1,039.48, 1,434.71 and 708.69

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Solution

The fourth proportional to 1,039.48, 1,434.71 and 708.69 is: 978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.48 : 1,434.71 = 708.69 : x
  2. Step 2: Convert to fraction form
    1,039.48/1,434.71 = 708.69/x
  3. Step 3: Cross multiply
    1,039.48x = 1,434.71 × 708.69
  4. Step 4: Simplify right side
    1,039.48x = 1,016,761.09
  5. Step 5: Solve for x
    x = 1,016,761.09/1,039.48
  6. Step 6: Final answer
    x = 978.15

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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.