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Finding the Fourth Proportional to 750.56, 1,126.40 and 458.36

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Solution

The fourth proportional to 750.56, 1,126.40 and 458.36 is: 687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.56 : 1,126.40 = 458.36 : x
  2. Step 2: Convert to fraction form
    750.56/1,126.40 = 458.36/x
  3. Step 3: Cross multiply
    750.56x = 1,126.40 × 458.36
  4. Step 4: Simplify right side
    750.56x = 516,296.70
  5. Step 5: Solve for x
    x = 516,296.70/750.56
  6. Step 6: Final answer
    x = 687.88

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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.