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Finding the Fourth Proportional to 908.92, 1,360.38 and 497.08

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Solution

The fourth proportional to 908.92, 1,360.38 and 497.08 is: 743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.92 : 1,360.38 = 497.08 : x
  2. Step 2: Convert to fraction form
    908.92/1,360.38 = 497.08/x
  3. Step 3: Cross multiply
    908.92x = 1,360.38 × 497.08
  4. Step 4: Simplify right side
    908.92x = 676,217.69
  5. Step 5: Solve for x
    x = 676,217.69/908.92
  6. Step 6: Final answer
    x = 743.98

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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.