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Finding the Fourth Proportional to 1,027.65, 1,543.10 and 812.19

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Solution

The fourth proportional to 1,027.65, 1,543.10 and 812.19 is: 1,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.65 : 1,543.10 = 812.19 : x
  2. Step 2: Convert to fraction form
    1,027.65/1,543.10 = 812.19/x
  3. Step 3: Cross multiply
    1,027.65x = 1,543.10 × 812.19
  4. Step 4: Simplify right side
    1,027.65x = 1,253,286.33
  5. Step 5: Solve for x
    x = 1,253,286.33/1,027.65
  6. Step 6: Final answer
    x = 1,219.57

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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.