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Finding the Fourth Proportional to 1,127.65, 1,691.01 and 397.06

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Solution

The fourth proportional to 1,127.65, 1,691.01 and 397.06 is: 595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.65 : 1,691.01 = 397.06 : x
  2. Step 2: Convert to fraction form
    1,127.65/1,691.01 = 397.06/x
  3. Step 3: Cross multiply
    1,127.65x = 1,691.01 × 397.06
  4. Step 4: Simplify right side
    1,127.65x = 671,423.98
  5. Step 5: Solve for x
    x = 671,423.98/1,127.65
  6. Step 6: Final answer
    x = 595.42

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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.