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Finding the Fourth Proportional to 1,108.71, 1,531.58 and 799.83

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Solution

The fourth proportional to 1,108.71, 1,531.58 and 799.83 is: 1,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.71 : 1,531.58 = 799.83 : x
  2. Step 2: Convert to fraction form
    1,108.71/1,531.58 = 799.83/x
  3. Step 3: Cross multiply
    1,108.71x = 1,531.58 × 799.83
  4. Step 4: Simplify right side
    1,108.71x = 1,224,999.63
  5. Step 5: Solve for x
    x = 1,224,999.63/1,108.71
  6. Step 6: Final answer
    x = 1,104.89

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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.