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Finding the Fourth Proportional to 1,226.99, 1,841.79 and 497.04

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Solution

The fourth proportional to 1,226.99, 1,841.79 and 497.04 is: 746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.99 : 1,841.79 = 497.04 : x
  2. Step 2: Convert to fraction form
    1,226.99/1,841.79 = 497.04/x
  3. Step 3: Cross multiply
    1,226.99x = 1,841.79 × 497.04
  4. Step 4: Simplify right side
    1,226.99x = 915,443.30
  5. Step 5: Solve for x
    x = 915,443.30/1,226.99
  6. Step 6: Final answer
    x = 746.09

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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.