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Finding the Fourth Proportional to 1,335.17, 2,002.35 and 685.82

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Solution

The fourth proportional to 1,335.17, 2,002.35 and 685.82 is: 1,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.17 : 2,002.35 = 685.82 : x
  2. Step 2: Convert to fraction form
    1,335.17/2,002.35 = 685.82/x
  3. Step 3: Cross multiply
    1,335.17x = 2,002.35 × 685.82
  4. Step 4: Simplify right side
    1,335.17x = 1,373,251.68
  5. Step 5: Solve for x
    x = 1,373,251.68/1,335.17
  6. Step 6: Final answer
    x = 1,028.52

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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.