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Finding the Fourth Proportional to 847.91, 1,169.96 and 474.89

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Solution

The fourth proportional to 847.91, 1,169.96 and 474.89 is: 655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.91 : 1,169.96 = 474.89 : x
  2. Step 2: Convert to fraction form
    847.91/1,169.96 = 474.89/x
  3. Step 3: Cross multiply
    847.91x = 1,169.96 × 474.89
  4. Step 4: Simplify right side
    847.91x = 555,594.08
  5. Step 5: Solve for x
    x = 555,594.08/847.91
  6. Step 6: Final answer
    x = 655.26

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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.