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Finding the Fourth Proportional to 1,231.07, 1,698.32 and 810.88

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Solution

The fourth proportional to 1,231.07, 1,698.32 and 810.88 is: 1,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.07 : 1,698.32 = 810.88 : x
  2. Step 2: Convert to fraction form
    1,231.07/1,698.32 = 810.88/x
  3. Step 3: Cross multiply
    1,231.07x = 1,698.32 × 810.88
  4. Step 4: Simplify right side
    1,231.07x = 1,377,131.50
  5. Step 5: Solve for x
    x = 1,377,131.50/1,231.07
  6. Step 6: Final answer
    x = 1,118.65

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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.