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Finding the Fourth Proportional to 952.82, 1,425.76 and 786.74

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Solution

The fourth proportional to 952.82, 1,425.76 and 786.74 is: 1,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.82 : 1,425.76 = 786.74 : x
  2. Step 2: Convert to fraction form
    952.82/1,425.76 = 786.74/x
  3. Step 3: Cross multiply
    952.82x = 1,425.76 × 786.74
  4. Step 4: Simplify right side
    952.82x = 1,121,698.49
  5. Step 5: Solve for x
    x = 1,121,698.49/952.82
  6. Step 6: Final answer
    x = 1,177.25

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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.