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Finding the Fourth Proportional to 1,314.97, 1,972.55 and 437.43

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Solution

The fourth proportional to 1,314.97, 1,972.55 and 437.43 is: 656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.97 : 1,972.55 = 437.43 : x
  2. Step 2: Convert to fraction form
    1,314.97/1,972.55 = 437.43/x
  3. Step 3: Cross multiply
    1,314.97x = 1,972.55 × 437.43
  4. Step 4: Simplify right side
    1,314.97x = 862,861.04
  5. Step 5: Solve for x
    x = 862,861.04/1,314.97
  6. Step 6: Final answer
    x = 656.18

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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.