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Finding the Fourth Proportional to 801.15, 1,106.06 and 539.43

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Solution

The fourth proportional to 801.15, 1,106.06 and 539.43 is: 744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.15 : 1,106.06 = 539.43 : x
  2. Step 2: Convert to fraction form
    801.15/1,106.06 = 539.43/x
  3. Step 3: Cross multiply
    801.15x = 1,106.06 × 539.43
  4. Step 4: Simplify right side
    801.15x = 596,639.25
  5. Step 5: Solve for x
    x = 596,639.25/801.15
  6. Step 6: Final answer
    x = 744.73

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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.