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Finding the Fourth Proportional to 868.98, 1,302.08 and 694.73

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Solution

The fourth proportional to 868.98, 1,302.08 and 694.73 is: 1,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.98 : 1,302.08 = 694.73 : x
  2. Step 2: Convert to fraction form
    868.98/1,302.08 = 694.73/x
  3. Step 3: Cross multiply
    868.98x = 1,302.08 × 694.73
  4. Step 4: Simplify right side
    868.98x = 904,586.50
  5. Step 5: Solve for x
    x = 904,586.50/868.98
  6. Step 6: Final answer
    x = 1,040.98

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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.