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Finding the Fourth Proportional to 1,115.87, 1,539.87 and 643.76

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Solution

The fourth proportional to 1,115.87, 1,539.87 and 643.76 is: 888.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.87 : 1,539.87 = 643.76 : x
  2. Step 2: Convert to fraction form
    1,115.87/1,539.87 = 643.76/x
  3. Step 3: Cross multiply
    1,115.87x = 1,539.87 × 643.76
  4. Step 4: Simplify right side
    1,115.87x = 991,306.71
  5. Step 5: Solve for x
    x = 991,306.71/1,115.87
  6. Step 6: Final answer
    x = 888.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.