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Finding the Fourth Proportional to 1,359.68, 2,036.89 and 812.30

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Solution

The fourth proportional to 1,359.68, 2,036.89 and 812.30 is: 1,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.68 : 2,036.89 = 812.30 : x
  2. Step 2: Convert to fraction form
    1,359.68/2,036.89 = 812.30/x
  3. Step 3: Cross multiply
    1,359.68x = 2,036.89 × 812.30
  4. Step 4: Simplify right side
    1,359.68x = 1,654,565.75
  5. Step 5: Solve for x
    x = 1,654,565.75/1,359.68
  6. Step 6: Final answer
    x = 1,216.88

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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.