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Finding the Fourth Proportional to 1,118.14, 1,543.01 and 620.78

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Solution

The fourth proportional to 1,118.14, 1,543.01 and 620.78 is: 856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.14 : 1,543.01 = 620.78 : x
  2. Step 2: Convert to fraction form
    1,118.14/1,543.01 = 620.78/x
  3. Step 3: Cross multiply
    1,118.14x = 1,543.01 × 620.78
  4. Step 4: Simplify right side
    1,118.14x = 957,869.75
  5. Step 5: Solve for x
    x = 957,869.75/1,118.14
  6. Step 6: Final answer
    x = 856.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.