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Finding the Fourth Proportional to 1,587.68, 2,381.61 and 547.73

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Solution

The fourth proportional to 1,587.68, 2,381.61 and 547.73 is: 821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.68 : 2,381.61 = 547.73 : x
  2. Step 2: Convert to fraction form
    1,587.68/2,381.61 = 547.73/x
  3. Step 3: Cross multiply
    1,587.68x = 2,381.61 × 547.73
  4. Step 4: Simplify right side
    1,587.68x = 1,304,479.25
  5. Step 5: Solve for x
    x = 1,304,479.25/1,587.68
  6. Step 6: Final answer
    x = 821.63

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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.