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Finding the Fourth Proportional to 978.77, 1,347.39 and 757.31

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Solution

The fourth proportional to 978.77, 1,347.39 and 757.31 is: 1,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.77 : 1,347.39 = 757.31 : x
  2. Step 2: Convert to fraction form
    978.77/1,347.39 = 757.31/x
  3. Step 3: Cross multiply
    978.77x = 1,347.39 × 757.31
  4. Step 4: Simplify right side
    978.77x = 1,020,385.18
  5. Step 5: Solve for x
    x = 1,020,385.18/978.77
  6. Step 6: Final answer
    x = 1,042.52

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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.