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Finding the Fourth Proportional to 1,359.83, 2,039.50 and 619.27

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Solution

The fourth proportional to 1,359.83, 2,039.50 and 619.27 is: 928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.83 : 2,039.50 = 619.27 : x
  2. Step 2: Convert to fraction form
    1,359.83/2,039.50 = 619.27/x
  3. Step 3: Cross multiply
    1,359.83x = 2,039.50 × 619.27
  4. Step 4: Simplify right side
    1,359.83x = 1,263,001.17
  5. Step 5: Solve for x
    x = 1,263,001.17/1,359.83
  6. Step 6: Final answer
    x = 928.79

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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.