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Finding the Fourth Proportional to 1,175.49, 1,761.57 and 932.49

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Solution

The fourth proportional to 1,175.49, 1,761.57 and 932.49 is: 1,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.49 : 1,761.57 = 932.49 : x
  2. Step 2: Convert to fraction form
    1,175.49/1,761.57 = 932.49/x
  3. Step 3: Cross multiply
    1,175.49x = 1,761.57 × 932.49
  4. Step 4: Simplify right side
    1,175.49x = 1,642,646.41
  5. Step 5: Solve for x
    x = 1,642,646.41/1,175.49
  6. Step 6: Final answer
    x = 1,397.41

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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.