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Finding the Fourth Proportional to 708.26, 1,061.19 and 361.22

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Solution

The fourth proportional to 708.26, 1,061.19 and 361.22 is: 541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.26 : 1,061.19 = 361.22 : x
  2. Step 2: Convert to fraction form
    708.26/1,061.19 = 361.22/x
  3. Step 3: Cross multiply
    708.26x = 1,061.19 × 361.22
  4. Step 4: Simplify right side
    708.26x = 383,317.75
  5. Step 5: Solve for x
    x = 383,317.75/708.26
  6. Step 6: Final answer
    x = 541.21

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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.