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Finding the Fourth Proportional to 847.61, 1,169.67 and 493.54

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Solution

The fourth proportional to 847.61, 1,169.67 and 493.54 is: 681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.61 : 1,169.67 = 493.54 : x
  2. Step 2: Convert to fraction form
    847.61/1,169.67 = 493.54/x
  3. Step 3: Cross multiply
    847.61x = 1,169.67 × 493.54
  4. Step 4: Simplify right side
    847.61x = 577,278.54
  5. Step 5: Solve for x
    x = 577,278.54/847.61
  6. Step 6: Final answer
    x = 681.07

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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.