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Finding the Fourth Proportional to 1,439.17, 2,158.71 and 465.25

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Solution

The fourth proportional to 1,439.17, 2,158.71 and 465.25 is: 697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.17 : 2,158.71 = 465.25 : x
  2. Step 2: Convert to fraction form
    1,439.17/2,158.71 = 465.25/x
  3. Step 3: Cross multiply
    1,439.17x = 2,158.71 × 465.25
  4. Step 4: Simplify right side
    1,439.17x = 1,004,339.83
  5. Step 5: Solve for x
    x = 1,004,339.83/1,439.17
  6. Step 6: Final answer
    x = 697.86

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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.