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Finding the Fourth Proportional to 688.38, 1,031.02 and 441.73

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Solution

The fourth proportional to 688.38, 1,031.02 and 441.73 is: 661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.38 : 1,031.02 = 441.73 : x
  2. Step 2: Convert to fraction form
    688.38/1,031.02 = 441.73/x
  3. Step 3: Cross multiply
    688.38x = 1,031.02 × 441.73
  4. Step 4: Simplify right side
    688.38x = 455,432.46
  5. Step 5: Solve for x
    x = 455,432.46/688.38
  6. Step 6: Final answer
    x = 661.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.