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Finding the Fourth Proportional to 1,444.33, 2,166.10 and 404.27

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Solution

The fourth proportional to 1,444.33, 2,166.10 and 404.27 is: 606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.33 : 2,166.10 = 404.27 : x
  2. Step 2: Convert to fraction form
    1,444.33/2,166.10 = 404.27/x
  3. Step 3: Cross multiply
    1,444.33x = 2,166.10 × 404.27
  4. Step 4: Simplify right side
    1,444.33x = 875,677.41
  5. Step 5: Solve for x
    x = 875,677.41/1,444.33
  6. Step 6: Final answer
    x = 606.29

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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.