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Finding the Fourth Proportional to 798.20, 1,101.18 and 576.66

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Solution

The fourth proportional to 798.20, 1,101.18 and 576.66 is: 795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.20 : 1,101.18 = 576.66 : x
  2. Step 2: Convert to fraction form
    798.20/1,101.18 = 576.66/x
  3. Step 3: Cross multiply
    798.20x = 1,101.18 × 576.66
  4. Step 4: Simplify right side
    798.20x = 635,006.46
  5. Step 5: Solve for x
    x = 635,006.46/798.20
  6. Step 6: Final answer
    x = 795.55

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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.