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Finding the Fourth Proportional to 1,154.15, 1,600.89 and 1,112.65

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Solution

The fourth proportional to 1,154.15, 1,600.89 and 1,112.65 is: 1,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.15 : 1,600.89 = 1,112.65 : x
  2. Step 2: Convert to fraction form
    1,154.15/1,600.89 = 1,112.65/x
  3. Step 3: Cross multiply
    1,154.15x = 1,600.89 × 1,112.65
  4. Step 4: Simplify right side
    1,154.15x = 1,781,230.26
  5. Step 5: Solve for x
    x = 1,781,230.26/1,154.15
  6. Step 6: Final answer
    x = 1,543.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.