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Finding the Fourth Proportional to 1,103.48, 1,522.82 and 606.13

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Solution

The fourth proportional to 1,103.48, 1,522.82 and 606.13 is: 836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.48 : 1,522.82 = 606.13 : x
  2. Step 2: Convert to fraction form
    1,103.48/1,522.82 = 606.13/x
  3. Step 3: Cross multiply
    1,103.48x = 1,522.82 × 606.13
  4. Step 4: Simplify right side
    1,103.48x = 923,024.59
  5. Step 5: Solve for x
    x = 923,024.59/1,103.48
  6. Step 6: Final answer
    x = 836.47

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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.