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Finding the Fourth Proportional to 967.84, 1,449.68 and 934.88

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Solution

The fourth proportional to 967.84, 1,449.68 and 934.88 is: 1,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.84 : 1,449.68 = 934.88 : x
  2. Step 2: Convert to fraction form
    967.84/1,449.68 = 934.88/x
  3. Step 3: Cross multiply
    967.84x = 1,449.68 × 934.88
  4. Step 4: Simplify right side
    967.84x = 1,355,276.84
  5. Step 5: Solve for x
    x = 1,355,276.84/967.84
  6. Step 6: Final answer
    x = 1,400.31

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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.