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Finding the Fourth Proportional to 847.18, 1,169.10 and 493.18

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Solution

The fourth proportional to 847.18, 1,169.10 and 493.18 is: 680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.18 : 1,169.10 = 493.18 : x
  2. Step 2: Convert to fraction form
    847.18/1,169.10 = 493.18/x
  3. Step 3: Cross multiply
    847.18x = 1,169.10 × 493.18
  4. Step 4: Simplify right side
    847.18x = 576,576.74
  5. Step 5: Solve for x
    x = 576,576.74/847.18
  6. Step 6: Final answer
    x = 680.58

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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.