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Finding the Fourth Proportional to 869.92, 1,200.47 and 497.11

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Solution

The fourth proportional to 869.92, 1,200.47 and 497.11 is: 686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.92 : 1,200.47 = 497.11 : x
  2. Step 2: Convert to fraction form
    869.92/1,200.47 = 497.11/x
  3. Step 3: Cross multiply
    869.92x = 1,200.47 × 497.11
  4. Step 4: Simplify right side
    869.92x = 596,765.64
  5. Step 5: Solve for x
    x = 596,765.64/869.92
  6. Step 6: Final answer
    x = 686.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.