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Finding the Fourth Proportional to 962.03, 1,441.41 and 868.67

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Solution

The fourth proportional to 962.03, 1,441.41 and 868.67 is: 1,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.03 : 1,441.41 = 868.67 : x
  2. Step 2: Convert to fraction form
    962.03/1,441.41 = 868.67/x
  3. Step 3: Cross multiply
    962.03x = 1,441.41 × 868.67
  4. Step 4: Simplify right side
    962.03x = 1,252,109.62
  5. Step 5: Solve for x
    x = 1,252,109.62/962.03
  6. Step 6: Final answer
    x = 1,301.53

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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.