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Finding the Fourth Proportional to 1,518.06, 2,277.08 and 478.15

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Solution

The fourth proportional to 1,518.06, 2,277.08 and 478.15 is: 717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.06 : 2,277.08 = 478.15 : x
  2. Step 2: Convert to fraction form
    1,518.06/2,277.08 = 478.15/x
  3. Step 3: Cross multiply
    1,518.06x = 2,277.08 × 478.15
  4. Step 4: Simplify right side
    1,518.06x = 1,088,785.80
  5. Step 5: Solve for x
    x = 1,088,785.80/1,518.06
  6. Step 6: Final answer
    x = 717.22

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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.