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Finding the Fourth Proportional to 952.02, 1,428.84 and 678.78

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Solution

The fourth proportional to 952.02, 1,428.84 and 678.78 is: 1,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.02 : 1,428.84 = 678.78 : x
  2. Step 2: Convert to fraction form
    952.02/1,428.84 = 678.78/x
  3. Step 3: Cross multiply
    952.02x = 1,428.84 × 678.78
  4. Step 4: Simplify right side
    952.02x = 969,868.02
  5. Step 5: Solve for x
    x = 969,868.02/952.02
  6. Step 6: Final answer
    x = 1,018.75

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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.