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Finding the Fourth Proportional to 966.12, 1,449.18 and 272.78

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Solution

The fourth proportional to 966.12, 1,449.18 and 272.78 is: 409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.12 : 1,449.18 = 272.78 : x
  2. Step 2: Convert to fraction form
    966.12/1,449.18 = 272.78/x
  3. Step 3: Cross multiply
    966.12x = 1,449.18 × 272.78
  4. Step 4: Simplify right side
    966.12x = 395,307.32
  5. Step 5: Solve for x
    x = 395,307.32/966.12
  6. Step 6: Final answer
    x = 409.17

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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.