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Finding the Fourth Proportional to 1,298.01, 1,944.42 and 886.14

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Solution

The fourth proportional to 1,298.01, 1,944.42 and 886.14 is: 1,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.01 : 1,944.42 = 886.14 : x
  2. Step 2: Convert to fraction form
    1,298.01/1,944.42 = 886.14/x
  3. Step 3: Cross multiply
    1,298.01x = 1,944.42 × 886.14
  4. Step 4: Simplify right side
    1,298.01x = 1,723,028.34
  5. Step 5: Solve for x
    x = 1,723,028.34/1,298.01
  6. Step 6: Final answer
    x = 1,327.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.