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Finding the Fourth Proportional to 823.95, 1,237.14 and 809.37

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Solution

The fourth proportional to 823.95, 1,237.14 and 809.37 is: 1,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.95 : 1,237.14 = 809.37 : x
  2. Step 2: Convert to fraction form
    823.95/1,237.14 = 809.37/x
  3. Step 3: Cross multiply
    823.95x = 1,237.14 × 809.37
  4. Step 4: Simplify right side
    823.95x = 1,001,304.00
  5. Step 5: Solve for x
    x = 1,001,304.00/823.95
  6. Step 6: Final answer
    x = 1,215.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.