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Finding the Fourth Proportional to 1,219.12, 1,678.52 and 1,063.80

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Solution

The fourth proportional to 1,219.12, 1,678.52 and 1,063.80 is: 1,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.12 : 1,678.52 = 1,063.80 : x
  2. Step 2: Convert to fraction form
    1,219.12/1,678.52 = 1,063.80/x
  3. Step 3: Cross multiply
    1,219.12x = 1,678.52 × 1,063.80
  4. Step 4: Simplify right side
    1,219.12x = 1,785,612.24
  5. Step 5: Solve for x
    x = 1,785,612.24/1,219.12
  6. Step 6: Final answer
    x = 1,464.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.