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Finding the Fourth Proportional to 1,542.64, 2,314.26 and 665.14

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Solution

The fourth proportional to 1,542.64, 2,314.26 and 665.14 is: 997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.64 : 2,314.26 = 665.14 : x
  2. Step 2: Convert to fraction form
    1,542.64/2,314.26 = 665.14/x
  3. Step 3: Cross multiply
    1,542.64x = 2,314.26 × 665.14
  4. Step 4: Simplify right side
    1,542.64x = 1,539,306.90
  5. Step 5: Solve for x
    x = 1,539,306.90/1,542.64
  6. Step 6: Final answer
    x = 997.84

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Why These Related Problems?

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