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Finding the Fourth Proportional to 967.22, 1,334.80 and 547.58

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Solution

The fourth proportional to 967.22, 1,334.80 and 547.58 is: 755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.22 : 1,334.80 = 547.58 : x
  2. Step 2: Convert to fraction form
    967.22/1,334.80 = 547.58/x
  3. Step 3: Cross multiply
    967.22x = 1,334.80 × 547.58
  4. Step 4: Simplify right side
    967.22x = 730,909.78
  5. Step 5: Solve for x
    x = 730,909.78/967.22
  6. Step 6: Final answer
    x = 755.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.