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Finding the Fourth Proportional to 1,061.93, 1,593.36 and 369.09

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Solution

The fourth proportional to 1,061.93, 1,593.36 and 369.09 is: 553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.93 : 1,593.36 = 369.09 : x
  2. Step 2: Convert to fraction form
    1,061.93/1,593.36 = 369.09/x
  3. Step 3: Cross multiply
    1,061.93x = 1,593.36 × 369.09
  4. Step 4: Simplify right side
    1,061.93x = 588,093.24
  5. Step 5: Solve for x
    x = 588,093.24/1,061.93
  6. Step 6: Final answer
    x = 553.80

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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.