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Finding the Fourth Proportional to 845.12, 1,265.28 and 588.48

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Solution

The fourth proportional to 845.12, 1,265.28 and 588.48 is: 881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.12 : 1,265.28 = 588.48 : x
  2. Step 2: Convert to fraction form
    845.12/1,265.28 = 588.48/x
  3. Step 3: Cross multiply
    845.12x = 1,265.28 × 588.48
  4. Step 4: Simplify right side
    845.12x = 744,591.97
  5. Step 5: Solve for x
    x = 744,591.97/845.12
  6. Step 6: Final answer
    x = 881.05

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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.