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Finding the Fourth Proportional to 966.02, 1,450.65 and 958.46

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Solution

The fourth proportional to 966.02, 1,450.65 and 958.46 is: 1,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.02 : 1,450.65 = 958.46 : x
  2. Step 2: Convert to fraction form
    966.02/1,450.65 = 958.46/x
  3. Step 3: Cross multiply
    966.02x = 1,450.65 × 958.46
  4. Step 4: Simplify right side
    966.02x = 1,390,390.00
  5. Step 5: Solve for x
    x = 1,390,390.00/966.02
  6. Step 6: Final answer
    x = 1,439.30

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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.