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Finding the Fourth Proportional to 1,387.16, 1,914.26 and 797.82

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Solution

The fourth proportional to 1,387.16, 1,914.26 and 797.82 is: 1,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.16 : 1,914.26 = 797.82 : x
  2. Step 2: Convert to fraction form
    1,387.16/1,914.26 = 797.82/x
  3. Step 3: Cross multiply
    1,387.16x = 1,914.26 × 797.82
  4. Step 4: Simplify right side
    1,387.16x = 1,527,234.91
  5. Step 5: Solve for x
    x = 1,527,234.91/1,387.16
  6. Step 6: Final answer
    x = 1,100.98

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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.