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Finding the Fourth Proportional to 868.84, 1,198.99 and 470.51

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Solution

The fourth proportional to 868.84, 1,198.99 and 470.51 is: 649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.84 : 1,198.99 = 470.51 : x
  2. Step 2: Convert to fraction form
    868.84/1,198.99 = 470.51/x
  3. Step 3: Cross multiply
    868.84x = 1,198.99 × 470.51
  4. Step 4: Simplify right side
    868.84x = 564,130.79
  5. Step 5: Solve for x
    x = 564,130.79/868.84
  6. Step 6: Final answer
    x = 649.29

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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.