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Finding the Fourth Proportional to 1,387.62, 1,914.93 and 798.49

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Solution

The fourth proportional to 1,387.62, 1,914.93 and 798.49 is: 1,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.62 : 1,914.93 = 798.49 : x
  2. Step 2: Convert to fraction form
    1,387.62/1,914.93 = 798.49/x
  3. Step 3: Cross multiply
    1,387.62x = 1,914.93 × 798.49
  4. Step 4: Simplify right side
    1,387.62x = 1,529,054.85
  5. Step 5: Solve for x
    x = 1,529,054.85/1,387.62
  6. Step 6: Final answer
    x = 1,101.93

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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.