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Finding the Fourth Proportional to 966.02, 1,445.22 and 959.00

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Solution

The fourth proportional to 966.02, 1,445.22 and 959.00 is: 1,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.02 : 1,445.22 = 959.00 : x
  2. Step 2: Convert to fraction form
    966.02/1,445.22 = 959.00/x
  3. Step 3: Cross multiply
    966.02x = 1,445.22 × 959.00
  4. Step 4: Simplify right side
    966.02x = 1,385,958.75
  5. Step 5: Solve for x
    x = 1,385,958.75/966.02
  6. Step 6: Final answer
    x = 1,434.72

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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.