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Finding the Fourth Proportional to 1,760.31, 2,640.74 and 589.95

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Solution

The fourth proportional to 1,760.31, 2,640.74 and 589.95 is: 885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.31 : 2,640.74 = 589.95 : x
  2. Step 2: Convert to fraction form
    1,760.31/2,640.74 = 589.95/x
  3. Step 3: Cross multiply
    1,760.31x = 2,640.74 × 589.95
  4. Step 4: Simplify right side
    1,760.31x = 1,557,901.61
  5. Step 5: Solve for x
    x = 1,557,901.61/1,760.31
  6. Step 6: Final answer
    x = 885.02

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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.