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Finding the Fourth Proportional to 801.27, 1,200.69 and 594.87

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Solution

The fourth proportional to 801.27, 1,200.69 and 594.87 is: 891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.27 : 1,200.69 = 594.87 : x
  2. Step 2: Convert to fraction form
    801.27/1,200.69 = 594.87/x
  3. Step 3: Cross multiply
    801.27x = 1,200.69 × 594.87
  4. Step 4: Simplify right side
    801.27x = 714,254.46
  5. Step 5: Solve for x
    x = 714,254.46/801.27
  6. Step 6: Final answer
    x = 891.40

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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.