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Finding the Fourth Proportional to 742.80, 1,112.88 and 511.44

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Solution

The fourth proportional to 742.80, 1,112.88 and 511.44 is: 766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.80 : 1,112.88 = 511.44 : x
  2. Step 2: Convert to fraction form
    742.80/1,112.88 = 511.44/x
  3. Step 3: Cross multiply
    742.80x = 1,112.88 × 511.44
  4. Step 4: Simplify right side
    742.80x = 569,171.35
  5. Step 5: Solve for x
    x = 569,171.35/742.80
  6. Step 6: Final answer
    x = 766.25

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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.