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Finding the Fourth Proportional to 1,105.03, 1,524.98 and 639.43

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Solution

The fourth proportional to 1,105.03, 1,524.98 and 639.43 is: 882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.03 : 1,524.98 = 639.43 : x
  2. Step 2: Convert to fraction form
    1,105.03/1,524.98 = 639.43/x
  3. Step 3: Cross multiply
    1,105.03x = 1,524.98 × 639.43
  4. Step 4: Simplify right side
    1,105.03x = 975,117.96
  5. Step 5: Solve for x
    x = 975,117.96/1,105.03
  6. Step 6: Final answer
    x = 882.44

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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.