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Finding the Fourth Proportional to 1,389.79, 1,917.88 and 800.38

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Solution

The fourth proportional to 1,389.79, 1,917.88 and 800.38 is: 1,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.79 : 1,917.88 = 800.38 : x
  2. Step 2: Convert to fraction form
    1,389.79/1,917.88 = 800.38/x
  3. Step 3: Cross multiply
    1,389.79x = 1,917.88 × 800.38
  4. Step 4: Simplify right side
    1,389.79x = 1,535,033.19
  5. Step 5: Solve for x
    x = 1,535,033.19/1,389.79
  6. Step 6: Final answer
    x = 1,104.51

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Why These Related Problems?

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