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Finding the Fourth Proportional to 1,387.27, 1,914.40 and 797.79

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Solution

The fourth proportional to 1,387.27, 1,914.40 and 797.79 is: 1,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.27 : 1,914.40 = 797.79 : x
  2. Step 2: Convert to fraction form
    1,387.27/1,914.40 = 797.79/x
  3. Step 3: Cross multiply
    1,387.27x = 1,914.40 × 797.79
  4. Step 4: Simplify right side
    1,387.27x = 1,527,289.18
  5. Step 5: Solve for x
    x = 1,527,289.18/1,387.27
  6. Step 6: Final answer
    x = 1,100.93

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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.