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Finding the Fourth Proportional to 749.66, 1,034.69 and 514.26

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Solution

The fourth proportional to 749.66, 1,034.69 and 514.26 is: 709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.66 : 1,034.69 = 514.26 : x
  2. Step 2: Convert to fraction form
    749.66/1,034.69 = 514.26/x
  3. Step 3: Cross multiply
    749.66x = 1,034.69 × 514.26
  4. Step 4: Simplify right side
    749.66x = 532,097.11
  5. Step 5: Solve for x
    x = 532,097.11/749.66
  6. Step 6: Final answer
    x = 709.79

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Why These Related Problems?

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