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Finding the Fourth Proportional to 868.16, 1,299.85 and 456.41

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Solution

The fourth proportional to 868.16, 1,299.85 and 456.41 is: 683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.16 : 1,299.85 = 456.41 : x
  2. Step 2: Convert to fraction form
    868.16/1,299.85 = 456.41/x
  3. Step 3: Cross multiply
    868.16x = 1,299.85 × 456.41
  4. Step 4: Simplify right side
    868.16x = 593,266.65
  5. Step 5: Solve for x
    x = 593,266.65/868.16
  6. Step 6: Final answer
    x = 683.36

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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.