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Finding the Fourth Proportional to 1,479.36, 2,216.24 and 830.56

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Solution

The fourth proportional to 1,479.36, 2,216.24 and 830.56 is: 1,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.36 : 2,216.24 = 830.56 : x
  2. Step 2: Convert to fraction form
    1,479.36/2,216.24 = 830.56/x
  3. Step 3: Cross multiply
    1,479.36x = 2,216.24 × 830.56
  4. Step 4: Simplify right side
    1,479.36x = 1,840,720.29
  5. Step 5: Solve for x
    x = 1,840,720.29/1,479.36
  6. Step 6: Final answer
    x = 1,244.27

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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.