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Finding the Fourth Proportional to 952.14, 1,429.42 and 947.28

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Solution

The fourth proportional to 952.14, 1,429.42 and 947.28 is: 1,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.14 : 1,429.42 = 947.28 : x
  2. Step 2: Convert to fraction form
    952.14/1,429.42 = 947.28/x
  3. Step 3: Cross multiply
    952.14x = 1,429.42 × 947.28
  4. Step 4: Simplify right side
    952.14x = 1,354,060.98
  5. Step 5: Solve for x
    x = 1,354,060.98/952.14
  6. Step 6: Final answer
    x = 1,422.12

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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.