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Finding the Fourth Proportional to 1,494.22, 2,240.76 and 520.06

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Solution

The fourth proportional to 1,494.22, 2,240.76 and 520.06 is: 779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.22 : 2,240.76 = 520.06 : x
  2. Step 2: Convert to fraction form
    1,494.22/2,240.76 = 520.06/x
  3. Step 3: Cross multiply
    1,494.22x = 2,240.76 × 520.06
  4. Step 4: Simplify right side
    1,494.22x = 1,165,329.65
  5. Step 5: Solve for x
    x = 1,165,329.65/1,494.22
  6. Step 6: Final answer
    x = 779.89

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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.