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Finding the Fourth Proportional to 1,439.85, 2,158.14 and 617.70

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Solution

The fourth proportional to 1,439.85, 2,158.14 and 617.70 is: 925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.85 : 2,158.14 = 617.70 : x
  2. Step 2: Convert to fraction form
    1,439.85/2,158.14 = 617.70/x
  3. Step 3: Cross multiply
    1,439.85x = 2,158.14 × 617.70
  4. Step 4: Simplify right side
    1,439.85x = 1,333,083.08
  5. Step 5: Solve for x
    x = 1,333,083.08/1,439.85
  6. Step 6: Final answer
    x = 925.85

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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.