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Finding the Fourth Proportional to 1,103.36, 1,522.64 and 599.21

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Solution

The fourth proportional to 1,103.36, 1,522.64 and 599.21 is: 826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.36 : 1,522.64 = 599.21 : x
  2. Step 2: Convert to fraction form
    1,103.36/1,522.64 = 599.21/x
  3. Step 3: Cross multiply
    1,103.36x = 1,522.64 × 599.21
  4. Step 4: Simplify right side
    1,103.36x = 912,384.17
  5. Step 5: Solve for x
    x = 912,384.17/1,103.36
  6. Step 6: Final answer
    x = 826.92

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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.