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Finding the Fourth Proportional to 1,144.62, 1,579.57 and 620.65

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Solution

The fourth proportional to 1,144.62, 1,579.57 and 620.65 is: 856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.62 : 1,579.57 = 620.65 : x
  2. Step 2: Convert to fraction form
    1,144.62/1,579.57 = 620.65/x
  3. Step 3: Cross multiply
    1,144.62x = 1,579.57 × 620.65
  4. Step 4: Simplify right side
    1,144.62x = 980,360.12
  5. Step 5: Solve for x
    x = 980,360.12/1,144.62
  6. Step 6: Final answer
    x = 856.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.