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Finding the Fourth Proportional to 749.28, 1,033.86 and 512.76

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Solution

The fourth proportional to 749.28, 1,033.86 and 512.76 is: 707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.28 : 1,033.86 = 512.76 : x
  2. Step 2: Convert to fraction form
    749.28/1,033.86 = 512.76/x
  3. Step 3: Cross multiply
    749.28x = 1,033.86 × 512.76
  4. Step 4: Simplify right side
    749.28x = 530,122.05
  5. Step 5: Solve for x
    x = 530,122.05/749.28
  6. Step 6: Final answer
    x = 707.51

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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.