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Finding the Fourth Proportional to 1,439.40, 2,158.78 and 515.02

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Solution

The fourth proportional to 1,439.40, 2,158.78 and 515.02 is: 772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.40 : 2,158.78 = 515.02 : x
  2. Step 2: Convert to fraction form
    1,439.40/2,158.78 = 515.02/x
  3. Step 3: Cross multiply
    1,439.40x = 2,158.78 × 515.02
  4. Step 4: Simplify right side
    1,439.40x = 1,111,810.77
  5. Step 5: Solve for x
    x = 1,111,810.77/1,439.40
  6. Step 6: Final answer
    x = 772.41

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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.