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Finding the Fourth Proportional to 950.76, 1,425.86 and 456.92

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Solution

The fourth proportional to 950.76, 1,425.86 and 456.92 is: 685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.76 : 1,425.86 = 456.92 : x
  2. Step 2: Convert to fraction form
    950.76/1,425.86 = 456.92/x
  3. Step 3: Cross multiply
    950.76x = 1,425.86 × 456.92
  4. Step 4: Simplify right side
    950.76x = 651,503.95
  5. Step 5: Solve for x
    x = 651,503.95/950.76
  6. Step 6: Final answer
    x = 685.25

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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.