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Finding the Fourth Proportional to 1,137.57, 1,706.22 and 315.96

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Solution

The fourth proportional to 1,137.57, 1,706.22 and 315.96 is: 473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.57 : 1,706.22 = 315.96 : x
  2. Step 2: Convert to fraction form
    1,137.57/1,706.22 = 315.96/x
  3. Step 3: Cross multiply
    1,137.57x = 1,706.22 × 315.96
  4. Step 4: Simplify right side
    1,137.57x = 539,097.27
  5. Step 5: Solve for x
    x = 539,097.27/1,137.57
  6. Step 6: Final answer
    x = 473.90

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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.