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Finding the Fourth Proportional to 1,519.28, 2,278.12 and 478.88

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Solution

The fourth proportional to 1,519.28, 2,278.12 and 478.88 is: 718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.28 : 2,278.12 = 478.88 : x
  2. Step 2: Convert to fraction form
    1,519.28/2,278.12 = 478.88/x
  3. Step 3: Cross multiply
    1,519.28x = 2,278.12 × 478.88
  4. Step 4: Simplify right side
    1,519.28x = 1,090,946.11
  5. Step 5: Solve for x
    x = 1,090,946.11/1,519.28
  6. Step 6: Final answer
    x = 718.07

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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.