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Finding the Fourth Proportional to 1,103.25, 1,522.52 and 599.13

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Solution

The fourth proportional to 1,103.25, 1,522.52 and 599.13 is: 826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.25 : 1,522.52 = 599.13 : x
  2. Step 2: Convert to fraction form
    1,103.25/1,522.52 = 599.13/x
  3. Step 3: Cross multiply
    1,103.25x = 1,522.52 × 599.13
  4. Step 4: Simplify right side
    1,103.25x = 912,182.12
  5. Step 5: Solve for x
    x = 912,182.12/1,103.25
  6. Step 6: Final answer
    x = 826.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.