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Finding the Fourth Proportional to 868.80, 1,199.34 and 537.24

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Solution

The fourth proportional to 868.80, 1,199.34 and 537.24 is: 741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.80 : 1,199.34 = 537.24 : x
  2. Step 2: Convert to fraction form
    868.80/1,199.34 = 537.24/x
  3. Step 3: Cross multiply
    868.80x = 1,199.34 × 537.24
  4. Step 4: Simplify right side
    868.80x = 644,333.42
  5. Step 5: Solve for x
    x = 644,333.42/868.80
  6. Step 6: Final answer
    x = 741.64

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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.