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Finding the Fourth Proportional to 1,381.07, 2,072.07 and 558.90

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Solution

The fourth proportional to 1,381.07, 2,072.07 and 558.90 is: 838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.07 : 2,072.07 = 558.90 : x
  2. Step 2: Convert to fraction form
    1,381.07/2,072.07 = 558.90/x
  3. Step 3: Cross multiply
    1,381.07x = 2,072.07 × 558.90
  4. Step 4: Simplify right side
    1,381.07x = 1,158,079.92
  5. Step 5: Solve for x
    x = 1,158,079.92/1,381.07
  6. Step 6: Final answer
    x = 838.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.