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Finding the Fourth Proportional to 691.48, 952.86 and 494.68

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Solution

The fourth proportional to 691.48, 952.86 and 494.68 is: 681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.48 : 952.86 = 494.68 : x
  2. Step 2: Convert to fraction form
    691.48/952.86 = 494.68/x
  3. Step 3: Cross multiply
    691.48x = 952.86 × 494.68
  4. Step 4: Simplify right side
    691.48x = 471,360.78
  5. Step 5: Solve for x
    x = 471,360.78/691.48
  6. Step 6: Final answer
    x = 681.67

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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.