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Finding the Fourth Proportional to 1,381.07, 2,071.61 and 558.78

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Solution

The fourth proportional to 1,381.07, 2,071.61 and 558.78 is: 838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.07 : 2,071.61 = 558.78 : x
  2. Step 2: Convert to fraction form
    1,381.07/2,071.61 = 558.78/x
  3. Step 3: Cross multiply
    1,381.07x = 2,071.61 × 558.78
  4. Step 4: Simplify right side
    1,381.07x = 1,157,571.44
  5. Step 5: Solve for x
    x = 1,157,571.44/1,381.07
  6. Step 6: Final answer
    x = 838.17

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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.