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Finding the Fourth Proportional to 1,389.69, 1,917.65 and 800.27

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Solution

The fourth proportional to 1,389.69, 1,917.65 and 800.27 is: 1,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.69 : 1,917.65 = 800.27 : x
  2. Step 2: Convert to fraction form
    1,389.69/1,917.65 = 800.27/x
  3. Step 3: Cross multiply
    1,389.69x = 1,917.65 × 800.27
  4. Step 4: Simplify right side
    1,389.69x = 1,534,624.18
  5. Step 5: Solve for x
    x = 1,534,624.18/1,389.69
  6. Step 6: Final answer
    x = 1,104.29

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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.