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Finding the Fourth Proportional to 1,104.75, 1,524.65 and 639.09

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Solution

The fourth proportional to 1,104.75, 1,524.65 and 639.09 is: 882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.75 : 1,524.65 = 639.09 : x
  2. Step 2: Convert to fraction form
    1,104.75/1,524.65 = 639.09/x
  3. Step 3: Cross multiply
    1,104.75x = 1,524.65 × 639.09
  4. Step 4: Simplify right side
    1,104.75x = 974,385.37
  5. Step 5: Solve for x
    x = 974,385.37/1,104.75
  6. Step 6: Final answer
    x = 882.00

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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.