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Finding the Fourth Proportional to 1,264.11, 1,742.40 and 998.07

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Solution

The fourth proportional to 1,264.11, 1,742.40 and 998.07 is: 1,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.11 : 1,742.40 = 998.07 : x
  2. Step 2: Convert to fraction form
    1,264.11/1,742.40 = 998.07/x
  3. Step 3: Cross multiply
    1,264.11x = 1,742.40 × 998.07
  4. Step 4: Simplify right side
    1,264.11x = 1,739,037.17
  5. Step 5: Solve for x
    x = 1,739,037.17/1,264.11
  6. Step 6: Final answer
    x = 1,375.70

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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.