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Finding the Fourth Proportional to 1,150.88, 1,715.22 and 1,149.05

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Solution

The fourth proportional to 1,150.88, 1,715.22 and 1,149.05 is: 1,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.88 : 1,715.22 = 1,149.05 : x
  2. Step 2: Convert to fraction form
    1,150.88/1,715.22 = 1,149.05/x
  3. Step 3: Cross multiply
    1,150.88x = 1,715.22 × 1,149.05
  4. Step 4: Simplify right side
    1,150.88x = 1,970,867.80
  5. Step 5: Solve for x
    x = 1,970,867.80/1,150.88
  6. Step 6: Final answer
    x = 1,712.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.