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Finding the Fourth Proportional to 742.98, 1,112.72 and 588.99

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Solution

The fourth proportional to 742.98, 1,112.72 and 588.99 is: 882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.98 : 1,112.72 = 588.99 : x
  2. Step 2: Convert to fraction form
    742.98/1,112.72 = 588.99/x
  3. Step 3: Cross multiply
    742.98x = 1,112.72 × 588.99
  4. Step 4: Simplify right side
    742.98x = 655,387.48
  5. Step 5: Solve for x
    x = 655,387.48/742.98
  6. Step 6: Final answer
    x = 882.10

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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.