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Finding the Fourth Proportional to 798.92, 1,101.65 and 546.87

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Solution

The fourth proportional to 798.92, 1,101.65 and 546.87 is: 754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.92 : 1,101.65 = 546.87 : x
  2. Step 2: Convert to fraction form
    798.92/1,101.65 = 546.87/x
  3. Step 3: Cross multiply
    798.92x = 1,101.65 × 546.87
  4. Step 4: Simplify right side
    798.92x = 602,459.34
  5. Step 5: Solve for x
    x = 602,459.34/798.92
  6. Step 6: Final answer
    x = 754.09

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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.