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Finding the Fourth Proportional to 961.42, 1,326.80 and 541.76

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Solution

The fourth proportional to 961.42, 1,326.80 and 541.76 is: 747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.42 : 1,326.80 = 541.76 : x
  2. Step 2: Convert to fraction form
    961.42/1,326.80 = 541.76/x
  3. Step 3: Cross multiply
    961.42x = 1,326.80 × 541.76
  4. Step 4: Simplify right side
    961.42x = 718,811.46
  5. Step 5: Solve for x
    x = 718,811.46/961.42
  6. Step 6: Final answer
    x = 747.66

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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.