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Finding the Fourth Proportional to 944.91, 1,414.53 and 510.75

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Solution

The fourth proportional to 944.91, 1,414.53 and 510.75 is: 764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.91 : 1,414.53 = 510.75 : x
  2. Step 2: Convert to fraction form
    944.91/1,414.53 = 510.75/x
  3. Step 3: Cross multiply
    944.91x = 1,414.53 × 510.75
  4. Step 4: Simplify right side
    944.91x = 722,471.20
  5. Step 5: Solve for x
    x = 722,471.20/944.91
  6. Step 6: Final answer
    x = 764.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.