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Finding the Fourth Proportional to 1,587.70, 2,380.98 and 614.14

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Solution

The fourth proportional to 1,587.70, 2,380.98 and 614.14 is: 920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.70 : 2,380.98 = 614.14 : x
  2. Step 2: Convert to fraction form
    1,587.70/2,380.98 = 614.14/x
  3. Step 3: Cross multiply
    1,587.70x = 2,380.98 × 614.14
  4. Step 4: Simplify right side
    1,587.70x = 1,462,255.06
  5. Step 5: Solve for x
    x = 1,462,255.06/1,587.70
  6. Step 6: Final answer
    x = 920.99

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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.