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Finding the Fourth Proportional to 1,127.41, 1,691.06 and 434.41

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Solution

The fourth proportional to 1,127.41, 1,691.06 and 434.41 is: 651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.41 : 1,691.06 = 434.41 : x
  2. Step 2: Convert to fraction form
    1,127.41/1,691.06 = 434.41/x
  3. Step 3: Cross multiply
    1,127.41x = 1,691.06 × 434.41
  4. Step 4: Simplify right side
    1,127.41x = 734,606.97
  5. Step 5: Solve for x
    x = 734,606.97/1,127.41
  6. Step 6: Final answer
    x = 651.59

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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.