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Finding the Fourth Proportional to 952.10, 1,428.41 and 952.10

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Solution

The fourth proportional to 952.10, 1,428.41 and 952.10 is: 1,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.10 : 1,428.41 = 952.10 : x
  2. Step 2: Convert to fraction form
    952.10/1,428.41 = 952.10/x
  3. Step 3: Cross multiply
    952.10x = 1,428.41 × 952.10
  4. Step 4: Simplify right side
    952.10x = 1,359,989.16
  5. Step 5: Solve for x
    x = 1,359,989.16/952.10
  6. Step 6: Final answer
    x = 1,428.41

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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.