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Finding the Fourth Proportional to 645.87, 892.32 and 567.41

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Solution

The fourth proportional to 645.87, 892.32 and 567.41 is: 783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.87 : 892.32 = 567.41 : x
  2. Step 2: Convert to fraction form
    645.87/892.32 = 567.41/x
  3. Step 3: Cross multiply
    645.87x = 892.32 × 567.41
  4. Step 4: Simplify right side
    645.87x = 506,304.70
  5. Step 5: Solve for x
    x = 506,304.70/645.87
  6. Step 6: Final answer
    x = 783.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.