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Finding the Fourth Proportional to 744.85, 1,115.88 and 513.46

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Solution

The fourth proportional to 744.85, 1,115.88 and 513.46 is: 769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.85 : 1,115.88 = 513.46 : x
  2. Step 2: Convert to fraction form
    744.85/1,115.88 = 513.46/x
  3. Step 3: Cross multiply
    744.85x = 1,115.88 × 513.46
  4. Step 4: Simplify right side
    744.85x = 572,959.74
  5. Step 5: Solve for x
    x = 572,959.74/744.85
  6. Step 6: Final answer
    x = 769.23

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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.