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Finding the Fourth Proportional to 1,118.28, 1,543.20 and 620.84

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Solution

The fourth proportional to 1,118.28, 1,543.20 and 620.84 is: 856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.28 : 1,543.20 = 620.84 : x
  2. Step 2: Convert to fraction form
    1,118.28/1,543.20 = 620.84/x
  3. Step 3: Cross multiply
    1,118.28x = 1,543.20 × 620.84
  4. Step 4: Simplify right side
    1,118.28x = 958,080.29
  5. Step 5: Solve for x
    x = 958,080.29/1,118.28
  6. Step 6: Final answer
    x = 856.74

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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.