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Finding the Fourth Proportional to 1,389.83, 1,917.59 and 865.94

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Solution

The fourth proportional to 1,389.83, 1,917.59 and 865.94 is: 1,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.83 : 1,917.59 = 865.94 : x
  2. Step 2: Convert to fraction form
    1,389.83/1,917.59 = 865.94/x
  3. Step 3: Cross multiply
    1,389.83x = 1,917.59 × 865.94
  4. Step 4: Simplify right side
    1,389.83x = 1,660,503.97
  5. Step 5: Solve for x
    x = 1,660,503.97/1,389.83
  6. Step 6: Final answer
    x = 1,194.76

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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.