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Finding the Fourth Proportional to 1,444.68, 2,166.79 and 404.57

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Solution

The fourth proportional to 1,444.68, 2,166.79 and 404.57 is: 606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.68 : 2,166.79 = 404.57 : x
  2. Step 2: Convert to fraction form
    1,444.68/2,166.79 = 404.57/x
  3. Step 3: Cross multiply
    1,444.68x = 2,166.79 × 404.57
  4. Step 4: Simplify right side
    1,444.68x = 876,618.23
  5. Step 5: Solve for x
    x = 876,618.23/1,444.68
  6. Step 6: Final answer
    x = 606.79

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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.