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Finding the Fourth Proportional to 759, 1,047.42 and 497.46

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Solution

The fourth proportional to 759, 1,047.42 and 497.46 is: 686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    759 : 1,047.42 = 497.46 : x
  2. Step 2: Convert to fraction form
    759/1,047.42 = 497.46/x
  3. Step 3: Cross multiply
    759x = 1,047.42 × 497.46
  4. Step 4: Simplify right side
    759x = 521,049.55
  5. Step 5: Solve for x
    x = 521,049.55/759
  6. Step 6: Final answer
    x = 686.49

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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.