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Finding the Fourth Proportional to 1,136.72, 1,705.08 and 314.92

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Solution

The fourth proportional to 1,136.72, 1,705.08 and 314.92 is: 472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.72 : 1,705.08 = 314.92 : x
  2. Step 2: Convert to fraction form
    1,136.72/1,705.08 = 314.92/x
  3. Step 3: Cross multiply
    1,136.72x = 1,705.08 × 314.92
  4. Step 4: Simplify right side
    1,136.72x = 536,963.79
  5. Step 5: Solve for x
    x = 536,963.79/1,136.72
  6. Step 6: Final answer
    x = 472.38

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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.