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Finding the Fourth Proportional to 868.81, 1,198.95 and 470.47

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Solution

The fourth proportional to 868.81, 1,198.95 and 470.47 is: 649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.81 : 1,198.95 = 470.47 : x
  2. Step 2: Convert to fraction form
    868.81/1,198.95 = 470.47/x
  3. Step 3: Cross multiply
    868.81x = 1,198.95 × 470.47
  4. Step 4: Simplify right side
    868.81x = 564,070.62
  5. Step 5: Solve for x
    x = 564,070.62/868.81
  6. Step 6: Final answer
    x = 649.25

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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.