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Finding the Fourth Proportional to 748.90, 1,120.69 and 456.31

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Solution

The fourth proportional to 748.90, 1,120.69 and 456.31 is: 682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.90 : 1,120.69 = 456.31 : x
  2. Step 2: Convert to fraction form
    748.90/1,120.69 = 456.31/x
  3. Step 3: Cross multiply
    748.90x = 1,120.69 × 456.31
  4. Step 4: Simplify right side
    748.90x = 511,378.31
  5. Step 5: Solve for x
    x = 511,378.31/748.90
  6. Step 6: Final answer
    x = 682.84

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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.