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Finding the Fourth Proportional to 1,565.31, 2,347.91 and 640.62

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Solution

The fourth proportional to 1,565.31, 2,347.91 and 640.62 is: 960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.31 : 2,347.91 = 640.62 : x
  2. Step 2: Convert to fraction form
    1,565.31/2,347.91 = 640.62/x
  3. Step 3: Cross multiply
    1,565.31x = 2,347.91 × 640.62
  4. Step 4: Simplify right side
    1,565.31x = 1,504,114.90
  5. Step 5: Solve for x
    x = 1,504,114.90/1,565.31
  6. Step 6: Final answer
    x = 960.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.