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Finding the Fourth Proportional to 868.07, 1,302.03 and 539.07

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Solution

The fourth proportional to 868.07, 1,302.03 and 539.07 is: 808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.07 : 1,302.03 = 539.07 : x
  2. Step 2: Convert to fraction form
    868.07/1,302.03 = 539.07/x
  3. Step 3: Cross multiply
    868.07x = 1,302.03 × 539.07
  4. Step 4: Simplify right side
    868.07x = 701,885.31
  5. Step 5: Solve for x
    x = 701,885.31/868.07
  6. Step 6: Final answer
    x = 808.56

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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.