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Finding the Fourth Proportional to 709, 1,062.30 and 491.56

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Solution

The fourth proportional to 709, 1,062.30 and 491.56 is: 736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    709 : 1,062.30 = 491.56 : x
  2. Step 2: Convert to fraction form
    709/1,062.30 = 491.56/x
  3. Step 3: Cross multiply
    709x = 1,062.30 × 491.56
  4. Step 4: Simplify right side
    709x = 522,184.19
  5. Step 5: Solve for x
    x = 522,184.19/709
  6. Step 6: Final answer
    x = 736.51

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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.