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Finding the Fourth Proportional to 1,109.71, 1,532.96 and 800.83

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Solution

The fourth proportional to 1,109.71, 1,532.96 and 800.83 is: 1,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.71 : 1,532.96 = 800.83 : x
  2. Step 2: Convert to fraction form
    1,109.71/1,532.96 = 800.83/x
  3. Step 3: Cross multiply
    1,109.71x = 1,532.96 × 800.83
  4. Step 4: Simplify right side
    1,109.71x = 1,227,640.36
  5. Step 5: Solve for x
    x = 1,227,640.36/1,109.71
  6. Step 6: Final answer
    x = 1,106.27

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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.