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Finding the Fourth Proportional to 1,014.43, 1,399.88 and 566.31

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Solution

The fourth proportional to 1,014.43, 1,399.88 and 566.31 is: 781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.43 : 1,399.88 = 566.31 : x
  2. Step 2: Convert to fraction form
    1,014.43/1,399.88 = 566.31/x
  3. Step 3: Cross multiply
    1,014.43x = 1,399.88 × 566.31
  4. Step 4: Simplify right side
    1,014.43x = 792,763.21
  5. Step 5: Solve for x
    x = 792,763.21/1,014.43
  6. Step 6: Final answer
    x = 781.49

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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.