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Finding the Fourth Proportional to 1,518.30, 2,276.87 and 478.08

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Solution

The fourth proportional to 1,518.30, 2,276.87 and 478.08 is: 716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.30 : 2,276.87 = 478.08 : x
  2. Step 2: Convert to fraction form
    1,518.30/2,276.87 = 478.08/x
  3. Step 3: Cross multiply
    1,518.30x = 2,276.87 × 478.08
  4. Step 4: Simplify right side
    1,518.30x = 1,088,523.62
  5. Step 5: Solve for x
    x = 1,088,523.62/1,518.30
  6. Step 6: Final answer
    x = 716.94

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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.