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Finding the Fourth Proportional to 1,486.55, 2,230.20 and 446.57

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Solution

The fourth proportional to 1,486.55, 2,230.20 and 446.57 is: 669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.55 : 2,230.20 = 446.57 : x
  2. Step 2: Convert to fraction form
    1,486.55/2,230.20 = 446.57/x
  3. Step 3: Cross multiply
    1,486.55x = 2,230.20 × 446.57
  4. Step 4: Simplify right side
    1,486.55x = 995,944.31
  5. Step 5: Solve for x
    x = 995,944.31/1,486.55
  6. Step 6: Final answer
    x = 669.97

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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.