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Finding the Fourth Proportional to 1,137.62, 1,706.09 and 315.69

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Solution

The fourth proportional to 1,137.62, 1,706.09 and 315.69 is: 473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.62 : 1,706.09 = 315.69 : x
  2. Step 2: Convert to fraction form
    1,137.62/1,706.09 = 315.69/x
  3. Step 3: Cross multiply
    1,137.62x = 1,706.09 × 315.69
  4. Step 4: Simplify right side
    1,137.62x = 538,593.97
  5. Step 5: Solve for x
    x = 538,593.97/1,137.62
  6. Step 6: Final answer
    x = 473.44

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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.