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Finding the Fourth Proportional to 966.47, 1,450.17 and 601.16

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Solution

The fourth proportional to 966.47, 1,450.17 and 601.16 is: 902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.47 : 1,450.17 = 601.16 : x
  2. Step 2: Convert to fraction form
    966.47/1,450.17 = 601.16/x
  3. Step 3: Cross multiply
    966.47x = 1,450.17 × 601.16
  4. Step 4: Simplify right side
    966.47x = 871,776.95
  5. Step 5: Solve for x
    x = 871,776.95/966.47
  6. Step 6: Final answer
    x = 902.03

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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.