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Finding the Fourth Proportional to 1,102.88, 1,522.15 and 637.40

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Solution

The fourth proportional to 1,102.88, 1,522.15 and 637.40 is: 879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.88 : 1,522.15 = 637.40 : x
  2. Step 2: Convert to fraction form
    1,102.88/1,522.15 = 637.40/x
  3. Step 3: Cross multiply
    1,102.88x = 1,522.15 × 637.40
  4. Step 4: Simplify right side
    1,102.88x = 970,218.41
  5. Step 5: Solve for x
    x = 970,218.41/1,102.88
  6. Step 6: Final answer
    x = 879.71

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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.