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Finding the Fourth Proportional to 1,537.62, 2,306.19 and 511.62

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Solution

The fourth proportional to 1,537.62, 2,306.19 and 511.62 is: 767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.62 : 2,306.19 = 511.62 : x
  2. Step 2: Convert to fraction form
    1,537.62/2,306.19 = 511.62/x
  3. Step 3: Cross multiply
    1,537.62x = 2,306.19 × 511.62
  4. Step 4: Simplify right side
    1,537.62x = 1,179,892.93
  5. Step 5: Solve for x
    x = 1,179,892.93/1,537.62
  6. Step 6: Final answer
    x = 767.35

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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.