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Finding the Fourth Proportional to 1,136.60, 1,704.92 and 314.89

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Solution

The fourth proportional to 1,136.60, 1,704.92 and 314.89 is: 472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.60 : 1,704.92 = 314.89 : x
  2. Step 2: Convert to fraction form
    1,136.60/1,704.92 = 314.89/x
  3. Step 3: Cross multiply
    1,136.60x = 1,704.92 × 314.89
  4. Step 4: Simplify right side
    1,136.60x = 536,856.42
  5. Step 5: Solve for x
    x = 536,856.42/1,136.60
  6. Step 6: Final answer
    x = 472.34

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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.