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Finding the Fourth Proportional to 637.62, 956.35 and 451.74

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Solution

The fourth proportional to 637.62, 956.35 and 451.74 is: 677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.62 : 956.35 = 451.74 : x
  2. Step 2: Convert to fraction form
    637.62/956.35 = 451.74/x
  3. Step 3: Cross multiply
    637.62x = 956.35 × 451.74
  4. Step 4: Simplify right side
    637.62x = 432,021.55
  5. Step 5: Solve for x
    x = 432,021.55/637.62
  6. Step 6: Final answer
    x = 677.55

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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.