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Finding the Fourth Proportional to 847.86, 1,169.69 and 553.17

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Solution

The fourth proportional to 847.86, 1,169.69 and 553.17 is: 763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.86 : 1,169.69 = 553.17 : x
  2. Step 2: Convert to fraction form
    847.86/1,169.69 = 553.17/x
  3. Step 3: Cross multiply
    847.86x = 1,169.69 × 553.17
  4. Step 4: Simplify right side
    847.86x = 647,034.65
  5. Step 5: Solve for x
    x = 647,034.65/847.86
  6. Step 6: Final answer
    x = 763.14

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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.