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Finding the Fourth Proportional to 876, 1,314 and 491.25

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Solution

The fourth proportional to 876, 1,314 and 491.25 is: 736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    876 : 1,314 = 491.25 : x
  2. Step 2: Convert to fraction form
    876/1,314 = 491.25/x
  3. Step 3: Cross multiply
    876x = 1,314 × 491.25
  4. Step 4: Simplify right side
    876x = 645,502.50
  5. Step 5: Solve for x
    x = 645,502.50/876
  6. Step 6: Final answer
    x = 736.88

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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.