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Finding the Fourth Proportional to 876.62, 1,314.24 and 486.77

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Solution

The fourth proportional to 876.62, 1,314.24 and 486.77 is: 729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.62 : 1,314.24 = 486.77 : x
  2. Step 2: Convert to fraction form
    876.62/1,314.24 = 486.77/x
  3. Step 3: Cross multiply
    876.62x = 1,314.24 × 486.77
  4. Step 4: Simplify right side
    876.62x = 639,726.03
  5. Step 5: Solve for x
    x = 639,726.03/876.62
  6. Step 6: Final answer
    x = 729.77

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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.