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Finding the Fourth Proportional to 967.02, 1,452.15 and 959.46

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Solution

The fourth proportional to 967.02, 1,452.15 and 959.46 is: 1,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.02 : 1,452.15 = 959.46 : x
  2. Step 2: Convert to fraction form
    967.02/1,452.15 = 959.46/x
  3. Step 3: Cross multiply
    967.02x = 1,452.15 × 959.46
  4. Step 4: Simplify right side
    967.02x = 1,393,279.84
  5. Step 5: Solve for x
    x = 1,393,279.84/967.02
  6. Step 6: Final answer
    x = 1,440.80

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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.