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Finding the Fourth Proportional to 1,594.31, 2,390.36 and 812.79

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Solution

The fourth proportional to 1,594.31, 2,390.36 and 812.79 is: 1,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.31 : 2,390.36 = 812.79 : x
  2. Step 2: Convert to fraction form
    1,594.31/2,390.36 = 812.79/x
  3. Step 3: Cross multiply
    1,594.31x = 2,390.36 × 812.79
  4. Step 4: Simplify right side
    1,594.31x = 1,942,856.64
  5. Step 5: Solve for x
    x = 1,942,856.64/1,594.31
  6. Step 6: Final answer
    x = 1,218.62

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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.