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Finding the Fourth Proportional to 1,478.25, 2,217.78 and 612.56

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Solution

The fourth proportional to 1,478.25, 2,217.78 and 612.56 is: 919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.25 : 2,217.78 = 612.56 : x
  2. Step 2: Convert to fraction form
    1,478.25/2,217.78 = 612.56/x
  3. Step 3: Cross multiply
    1,478.25x = 2,217.78 × 612.56
  4. Step 4: Simplify right side
    1,478.25x = 1,358,528.86
  5. Step 5: Solve for x
    x = 1,358,528.86/1,478.25
  6. Step 6: Final answer
    x = 919.01

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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.