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Finding the Fourth Proportional to 1,119.47, 1,543.98 and 721.17

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Solution

The fourth proportional to 1,119.47, 1,543.98 and 721.17 is: 994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.47 : 1,543.98 = 721.17 : x
  2. Step 2: Convert to fraction form
    1,119.47/1,543.98 = 721.17/x
  3. Step 3: Cross multiply
    1,119.47x = 1,543.98 × 721.17
  4. Step 4: Simplify right side
    1,119.47x = 1,113,464.34
  5. Step 5: Solve for x
    x = 1,113,464.34/1,119.47
  6. Step 6: Final answer
    x = 994.63

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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.