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Finding the Fourth Proportional to 1,061.84, 1,591 and 412.22

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Solution

The fourth proportional to 1,061.84, 1,591 and 412.22 is: 617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.84 : 1,591 = 412.22 : x
  2. Step 2: Convert to fraction form
    1,061.84/1,591 = 412.22/x
  3. Step 3: Cross multiply
    1,061.84x = 1,591 × 412.22
  4. Step 4: Simplify right side
    1,061.84x = 655,842.02
  5. Step 5: Solve for x
    x = 655,842.02/1,061.84
  6. Step 6: Final answer
    x = 617.65

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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.