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Finding the Fourth Proportional to 1,243.80, 1,864.44 and 696.24

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Solution

The fourth proportional to 1,243.80, 1,864.44 and 696.24 is: 1,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.80 : 1,864.44 = 696.24 : x
  2. Step 2: Convert to fraction form
    1,243.80/1,864.44 = 696.24/x
  3. Step 3: Cross multiply
    1,243.80x = 1,864.44 × 696.24
  4. Step 4: Simplify right side
    1,243.80x = 1,298,097.71
  5. Step 5: Solve for x
    x = 1,298,097.71/1,243.80
  6. Step 6: Final answer
    x = 1,043.65

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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.