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Finding the Fourth Proportional to 1,127.37, 1,691.27 and 347.23

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Solution

The fourth proportional to 1,127.37, 1,691.27 and 347.23 is: 520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.37 : 1,691.27 = 347.23 : x
  2. Step 2: Convert to fraction form
    1,127.37/1,691.27 = 347.23/x
  3. Step 3: Cross multiply
    1,127.37x = 1,691.27 × 347.23
  4. Step 4: Simplify right side
    1,127.37x = 587,253.72
  5. Step 5: Solve for x
    x = 587,253.72/1,127.37
  6. Step 6: Final answer
    x = 520.91

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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.