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Finding the Fourth Proportional to 847.86, 1,169.92 and 474.86

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Solution

The fourth proportional to 847.86, 1,169.92 and 474.86 is: 655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.86 : 1,169.92 = 474.86 : x
  2. Step 2: Convert to fraction form
    847.86/1,169.92 = 474.86/x
  3. Step 3: Cross multiply
    847.86x = 1,169.92 × 474.86
  4. Step 4: Simplify right side
    847.86x = 555,542.91
  5. Step 5: Solve for x
    x = 555,542.91/847.86
  6. Step 6: Final answer
    x = 655.23

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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.