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Finding the Fourth Proportional to 1,378.92, 2,067.02 and 649.01

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Solution

The fourth proportional to 1,378.92, 2,067.02 and 649.01 is: 972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.92 : 2,067.02 = 649.01 : x
  2. Step 2: Convert to fraction form
    1,378.92/2,067.02 = 649.01/x
  3. Step 3: Cross multiply
    1,378.92x = 2,067.02 × 649.01
  4. Step 4: Simplify right side
    1,378.92x = 1,341,521.01
  5. Step 5: Solve for x
    x = 1,341,521.01/1,378.92
  6. Step 6: Final answer
    x = 972.88

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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.