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Finding the Fourth Proportional to 1,105.50, 1,525.17 and 663.24

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Solution

The fourth proportional to 1,105.50, 1,525.17 and 663.24 is: 915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.50 : 1,525.17 = 663.24 : x
  2. Step 2: Convert to fraction form
    1,105.50/1,525.17 = 663.24/x
  3. Step 3: Cross multiply
    1,105.50x = 1,525.17 × 663.24
  4. Step 4: Simplify right side
    1,105.50x = 1,011,553.75
  5. Step 5: Solve for x
    x = 1,011,553.75/1,105.50
  6. Step 6: Final answer
    x = 915.02

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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.