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Finding the Fourth Proportional to 1,238.11, 1,856.28 and 579.63

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Solution

The fourth proportional to 1,238.11, 1,856.28 and 579.63 is: 869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.11 : 1,856.28 = 579.63 : x
  2. Step 2: Convert to fraction form
    1,238.11/1,856.28 = 579.63/x
  3. Step 3: Cross multiply
    1,238.11x = 1,856.28 × 579.63
  4. Step 4: Simplify right side
    1,238.11x = 1,075,945.79
  5. Step 5: Solve for x
    x = 1,075,945.79/1,238.11
  6. Step 6: Final answer
    x = 869.02

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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.