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Finding the Fourth Proportional to 1,318.40, 1,978.82 and 951.48

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Solution

The fourth proportional to 1,318.40, 1,978.82 and 951.48 is: 1,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.40 : 1,978.82 = 951.48 : x
  2. Step 2: Convert to fraction form
    1,318.40/1,978.82 = 951.48/x
  3. Step 3: Cross multiply
    1,318.40x = 1,978.82 × 951.48
  4. Step 4: Simplify right side
    1,318.40x = 1,882,807.65
  5. Step 5: Solve for x
    x = 1,882,807.65/1,318.40
  6. Step 6: Final answer
    x = 1,428.10

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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.