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Finding the Fourth Proportional to 749.62, 1,032.69 and 516.34

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Solution

The fourth proportional to 749.62, 1,032.69 and 516.34 is: 711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.62 : 1,032.69 = 516.34 : x
  2. Step 2: Convert to fraction form
    749.62/1,032.69 = 516.34/x
  3. Step 3: Cross multiply
    749.62x = 1,032.69 × 516.34
  4. Step 4: Simplify right side
    749.62x = 533,219.15
  5. Step 5: Solve for x
    x = 533,219.15/749.62
  6. Step 6: Final answer
    x = 711.32

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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.