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Finding the Fourth Proportional to 952.28, 1,429.30 and 587.78

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Solution

The fourth proportional to 952.28, 1,429.30 and 587.78 is: 882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.28 : 1,429.30 = 587.78 : x
  2. Step 2: Convert to fraction form
    952.28/1,429.30 = 587.78/x
  3. Step 3: Cross multiply
    952.28x = 1,429.30 × 587.78
  4. Step 4: Simplify right side
    952.28x = 840,113.95
  5. Step 5: Solve for x
    x = 840,113.95/952.28
  6. Step 6: Final answer
    x = 882.21

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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.