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Finding the Fourth Proportional to 1,335.64, 2,003.67 and 642.18

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Solution

The fourth proportional to 1,335.64, 2,003.67 and 642.18 is: 963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.64 : 2,003.67 = 642.18 : x
  2. Step 2: Convert to fraction form
    1,335.64/2,003.67 = 642.18/x
  3. Step 3: Cross multiply
    1,335.64x = 2,003.67 × 642.18
  4. Step 4: Simplify right side
    1,335.64x = 1,286,716.80
  5. Step 5: Solve for x
    x = 1,286,716.80/1,335.64
  6. Step 6: Final answer
    x = 963.37

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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.