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Finding the Fourth Proportional to 1,439.67, 2,158.02 and 708.24

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Solution

The fourth proportional to 1,439.67, 2,158.02 and 708.24 is: 1,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.67 : 2,158.02 = 708.24 : x
  2. Step 2: Convert to fraction form
    1,439.67/2,158.02 = 708.24/x
  3. Step 3: Cross multiply
    1,439.67x = 2,158.02 × 708.24
  4. Step 4: Simplify right side
    1,439.67x = 1,528,396.08
  5. Step 5: Solve for x
    x = 1,528,396.08/1,439.67
  6. Step 6: Final answer
    x = 1,061.63

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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.