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Finding the Fourth Proportional to 1,079.22, 1,614.47 and 896.98

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Solution

The fourth proportional to 1,079.22, 1,614.47 and 896.98 is: 1,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.22 : 1,614.47 = 896.98 : x
  2. Step 2: Convert to fraction form
    1,079.22/1,614.47 = 896.98/x
  3. Step 3: Cross multiply
    1,079.22x = 1,614.47 × 896.98
  4. Step 4: Simplify right side
    1,079.22x = 1,448,147.30
  5. Step 5: Solve for x
    x = 1,448,147.30/1,079.22
  6. Step 6: Final answer
    x = 1,341.85

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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.