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Finding the Fourth Proportional to 1,378.17, 2,066.72 and 556.29

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Solution

The fourth proportional to 1,378.17, 2,066.72 and 556.29 is: 834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.17 : 2,066.72 = 556.29 : x
  2. Step 2: Convert to fraction form
    1,378.17/2,066.72 = 556.29/x
  3. Step 3: Cross multiply
    1,378.17x = 2,066.72 × 556.29
  4. Step 4: Simplify right side
    1,378.17x = 1,149,692.89
  5. Step 5: Solve for x
    x = 1,149,692.89/1,378.17
  6. Step 6: Final answer
    x = 834.22

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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.