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Finding the Fourth Proportional to 1,118.33, 1,543.26 and 620.96

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Solution

The fourth proportional to 1,118.33, 1,543.26 and 620.96 is: 856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.33 : 1,543.26 = 620.96 : x
  2. Step 2: Convert to fraction form
    1,118.33/1,543.26 = 620.96/x
  3. Step 3: Cross multiply
    1,118.33x = 1,543.26 × 620.96
  4. Step 4: Simplify right side
    1,118.33x = 958,302.73
  5. Step 5: Solve for x
    x = 958,302.73/1,118.33
  6. Step 6: Final answer
    x = 856.91

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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.