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Finding the Fourth Proportional to 972.44, 1,458.66 and 827.88

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Solution

The fourth proportional to 972.44, 1,458.66 and 827.88 is: 1,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.44 : 1,458.66 = 827.88 : x
  2. Step 2: Convert to fraction form
    972.44/1,458.66 = 827.88/x
  3. Step 3: Cross multiply
    972.44x = 1,458.66 × 827.88
  4. Step 4: Simplify right side
    972.44x = 1,207,595.44
  5. Step 5: Solve for x
    x = 1,207,595.44/972.44
  6. Step 6: Final answer
    x = 1,241.82

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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.