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Finding the Fourth Proportional to 847.79, 1,169.96 and 474.78

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Solution

The fourth proportional to 847.79, 1,169.96 and 474.78 is: 655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.79 : 1,169.96 = 474.78 : x
  2. Step 2: Convert to fraction form
    847.79/1,169.96 = 474.78/x
  3. Step 3: Cross multiply
    847.79x = 1,169.96 × 474.78
  4. Step 4: Simplify right side
    847.79x = 555,471.23
  5. Step 5: Solve for x
    x = 555,471.23/847.79
  6. Step 6: Final answer
    x = 655.20

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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.