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Finding the Fourth Proportional to 1,103.12, 1,522.32 and 637.28

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Solution

The fourth proportional to 1,103.12, 1,522.32 and 637.28 is: 879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.12 : 1,522.32 = 637.28 : x
  2. Step 2: Convert to fraction form
    1,103.12/1,522.32 = 637.28/x
  3. Step 3: Cross multiply
    1,103.12x = 1,522.32 × 637.28
  4. Step 4: Simplify right side
    1,103.12x = 970,144.09
  5. Step 5: Solve for x
    x = 970,144.09/1,103.12
  6. Step 6: Final answer
    x = 879.45

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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.