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Finding the Fourth Proportional to 1,118.83, 1,543.27 and 721.01

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Solution

The fourth proportional to 1,118.83, 1,543.27 and 721.01 is: 994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.83 : 1,543.27 = 721.01 : x
  2. Step 2: Convert to fraction form
    1,118.83/1,543.27 = 721.01/x
  3. Step 3: Cross multiply
    1,118.83x = 1,543.27 × 721.01
  4. Step 4: Simplify right side
    1,118.83x = 1,112,713.10
  5. Step 5: Solve for x
    x = 1,112,713.10/1,118.83
  6. Step 6: Final answer
    x = 994.53

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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.