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Finding the Fourth Proportional to 868.99, 1,302.62 and 576.57

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Solution

The fourth proportional to 868.99, 1,302.62 and 576.57 is: 864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.99 : 1,302.62 = 576.57 : x
  2. Step 2: Convert to fraction form
    868.99/1,302.62 = 576.57/x
  3. Step 3: Cross multiply
    868.99x = 1,302.62 × 576.57
  4. Step 4: Simplify right side
    868.99x = 751,053.05
  5. Step 5: Solve for x
    x = 751,053.05/868.99
  6. Step 6: Final answer
    x = 864.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.