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Finding the Fourth Proportional to 1,118.23, 1,543.26 and 620.87

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Solution

The fourth proportional to 1,118.23, 1,543.26 and 620.87 is: 856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.23 : 1,543.26 = 620.87 : x
  2. Step 2: Convert to fraction form
    1,118.23/1,543.26 = 620.87/x
  3. Step 3: Cross multiply
    1,118.23x = 1,543.26 × 620.87
  4. Step 4: Simplify right side
    1,118.23x = 958,163.84
  5. Step 5: Solve for x
    x = 958,163.84/1,118.23
  6. Step 6: Final answer
    x = 856.86

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