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Finding the Fourth Proportional to 967.84, 1,452 and 382.88

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Solution

The fourth proportional to 967.84, 1,452 and 382.88 is: 574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.84 : 1,452 = 382.88 : x
  2. Step 2: Convert to fraction form
    967.84/1,452 = 382.88/x
  3. Step 3: Cross multiply
    967.84x = 1,452 × 382.88
  4. Step 4: Simplify right side
    967.84x = 555,941.76
  5. Step 5: Solve for x
    x = 555,941.76/967.84
  6. Step 6: Final answer
    x = 574.41

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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.