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Finding the Fourth Proportional to 1,344.82, 2,017.32 and 370.84

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Solution

The fourth proportional to 1,344.82, 2,017.32 and 370.84 is: 556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.82 : 2,017.32 = 370.84 : x
  2. Step 2: Convert to fraction form
    1,344.82/2,017.32 = 370.84/x
  3. Step 3: Cross multiply
    1,344.82x = 2,017.32 × 370.84
  4. Step 4: Simplify right side
    1,344.82x = 748,102.95
  5. Step 5: Solve for x
    x = 748,102.95/1,344.82
  6. Step 6: Final answer
    x = 556.28

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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.