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Finding the Fourth Proportional to 1,238.20, 1,856.85 and 621.70

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Solution

The fourth proportional to 1,238.20, 1,856.85 and 621.70 is: 932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.20 : 1,856.85 = 621.70 : x
  2. Step 2: Convert to fraction form
    1,238.20/1,856.85 = 621.70/x
  3. Step 3: Cross multiply
    1,238.20x = 1,856.85 × 621.70
  4. Step 4: Simplify right side
    1,238.20x = 1,154,403.65
  5. Step 5: Solve for x
    x = 1,154,403.65/1,238.20
  6. Step 6: Final answer
    x = 932.32

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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.