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Finding the Fourth Proportional to 749.87, 1,035.30 and 514.21

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Solution

The fourth proportional to 749.87, 1,035.30 and 514.21 is: 709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.87 : 1,035.30 = 514.21 : x
  2. Step 2: Convert to fraction form
    749.87/1,035.30 = 514.21/x
  3. Step 3: Cross multiply
    749.87x = 1,035.30 × 514.21
  4. Step 4: Simplify right side
    749.87x = 532,359.04
  5. Step 5: Solve for x
    x = 532,359.04/749.87
  6. Step 6: Final answer
    x = 709.94

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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.