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Finding the Fourth Proportional to 868.24, 1,300.20 and 542.62

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Solution

The fourth proportional to 868.24, 1,300.20 and 542.62 is: 812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.24 : 1,300.20 = 542.62 : x
  2. Step 2: Convert to fraction form
    868.24/1,300.20 = 542.62/x
  3. Step 3: Cross multiply
    868.24x = 1,300.20 × 542.62
  4. Step 4: Simplify right side
    868.24x = 705,514.52
  5. Step 5: Solve for x
    x = 705,514.52/868.24
  6. Step 6: Final answer
    x = 812.58

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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.