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Finding the Fourth Proportional to 1,108.03, 1,529.13 and 635.80

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Solution

The fourth proportional to 1,108.03, 1,529.13 and 635.80 is: 877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.03 : 1,529.13 = 635.80 : x
  2. Step 2: Convert to fraction form
    1,108.03/1,529.13 = 635.80/x
  3. Step 3: Cross multiply
    1,108.03x = 1,529.13 × 635.80
  4. Step 4: Simplify right side
    1,108.03x = 972,220.85
  5. Step 5: Solve for x
    x = 972,220.85/1,108.03
  6. Step 6: Final answer
    x = 877.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.