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Finding the Fourth Proportional to 876.34, 1,314.42 and 587.17

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Solution

The fourth proportional to 876.34, 1,314.42 and 587.17 is: 880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.34 : 1,314.42 = 587.17 : x
  2. Step 2: Convert to fraction form
    876.34/1,314.42 = 587.17/x
  3. Step 3: Cross multiply
    876.34x = 1,314.42 × 587.17
  4. Step 4: Simplify right side
    876.34x = 771,787.99
  5. Step 5: Solve for x
    x = 771,787.99/876.34
  6. Step 6: Final answer
    x = 880.69

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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.