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Finding the Fourth Proportional to 1,377.44, 2,066.45 and 403.46

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Solution

The fourth proportional to 1,377.44, 2,066.45 and 403.46 is: 605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.44 : 2,066.45 = 403.46 : x
  2. Step 2: Convert to fraction form
    1,377.44/2,066.45 = 403.46/x
  3. Step 3: Cross multiply
    1,377.44x = 2,066.45 × 403.46
  4. Step 4: Simplify right side
    1,377.44x = 833,717.57
  5. Step 5: Solve for x
    x = 833,717.57/1,377.44
  6. Step 6: Final answer
    x = 605.27

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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.