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Finding the Fourth Proportional to 876.75, 1,314.68 and 511.62

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Solution

The fourth proportional to 876.75, 1,314.68 and 511.62 is: 767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.75 : 1,314.68 = 511.62 : x
  2. Step 2: Convert to fraction form
    876.75/1,314.68 = 511.62/x
  3. Step 3: Cross multiply
    876.75x = 1,314.68 × 511.62
  4. Step 4: Simplify right side
    876.75x = 672,614.02
  5. Step 5: Solve for x
    x = 672,614.02/876.75
  6. Step 6: Final answer
    x = 767.17

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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.