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Finding the Fourth Proportional to 643.70, 871.88 and 643.70

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Solution

The fourth proportional to 643.70, 871.88 and 643.70 is: 871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.70 : 871.88 = 643.70 : x
  2. Step 2: Convert to fraction form
    643.70/871.88 = 643.70/x
  3. Step 3: Cross multiply
    643.70x = 871.88 × 643.70
  4. Step 4: Simplify right side
    643.70x = 561,225.94
  5. Step 5: Solve for x
    x = 561,225.94/643.70
  6. Step 6: Final answer
    x = 871.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.