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Finding the Fourth Proportional to 847.23, 1,169.19 and 474.16

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Solution

The fourth proportional to 847.23, 1,169.19 and 474.16 is: 654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.23 : 1,169.19 = 474.16 : x
  2. Step 2: Convert to fraction form
    847.23/1,169.19 = 474.16/x
  3. Step 3: Cross multiply
    847.23x = 1,169.19 × 474.16
  4. Step 4: Simplify right side
    847.23x = 554,380.76
  5. Step 5: Solve for x
    x = 554,380.76/847.23
  6. Step 6: Final answer
    x = 654.35

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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.