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Finding the Fourth Proportional to 1,243.05, 1,865.31 and 463.59

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Solution

The fourth proportional to 1,243.05, 1,865.31 and 463.59 is: 695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.05 : 1,865.31 = 463.59 : x
  2. Step 2: Convert to fraction form
    1,243.05/1,865.31 = 463.59/x
  3. Step 3: Cross multiply
    1,243.05x = 1,865.31 × 463.59
  4. Step 4: Simplify right side
    1,243.05x = 864,739.06
  5. Step 5: Solve for x
    x = 864,739.06/1,243.05
  6. Step 6: Final answer
    x = 695.66

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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.