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Finding the Fourth Proportional to 663.76, 913.04 and 637.12

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Solution

The fourth proportional to 663.76, 913.04 and 637.12 is: 876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.76 : 913.04 = 637.12 : x
  2. Step 2: Convert to fraction form
    663.76/913.04 = 637.12/x
  3. Step 3: Cross multiply
    663.76x = 913.04 × 637.12
  4. Step 4: Simplify right side
    663.76x = 581,716.04
  5. Step 5: Solve for x
    x = 581,716.04/663.76
  6. Step 6: Final answer
    x = 876.40

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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.