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Finding the Fourth Proportional to 688.04, 1,032.48 and 271.92

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Solution

The fourth proportional to 688.04, 1,032.48 and 271.92 is: 408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.04 : 1,032.48 = 271.92 : x
  2. Step 2: Convert to fraction form
    688.04/1,032.48 = 271.92/x
  3. Step 3: Cross multiply
    688.04x = 1,032.48 × 271.92
  4. Step 4: Simplify right side
    688.04x = 280,751.96
  5. Step 5: Solve for x
    x = 280,751.96/688.04
  6. Step 6: Final answer
    x = 408.05

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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.