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Finding the Fourth Proportional to 1,484.09, 2,226.36 and 559.71

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Solution

The fourth proportional to 1,484.09, 2,226.36 and 559.71 is: 839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.09 : 2,226.36 = 559.71 : x
  2. Step 2: Convert to fraction form
    1,484.09/2,226.36 = 559.71/x
  3. Step 3: Cross multiply
    1,484.09x = 2,226.36 × 559.71
  4. Step 4: Simplify right side
    1,484.09x = 1,246,115.96
  5. Step 5: Solve for x
    x = 1,246,115.96/1,484.09
  6. Step 6: Final answer
    x = 839.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.