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Finding the Fourth Proportional to 749.88, 1,034.03 and 645.32

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Solution

The fourth proportional to 749.88, 1,034.03 and 645.32 is: 889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.88 : 1,034.03 = 645.32 : x
  2. Step 2: Convert to fraction form
    749.88/1,034.03 = 645.32/x
  3. Step 3: Cross multiply
    749.88x = 1,034.03 × 645.32
  4. Step 4: Simplify right side
    749.88x = 667,284.44
  5. Step 5: Solve for x
    x = 667,284.44/749.88
  6. Step 6: Final answer
    x = 889.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.