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Finding the Fourth Proportional to 823.97, 1,230.08 and 795.14

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Solution

The fourth proportional to 823.97, 1,230.08 and 795.14 is: 1,187.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.97 : 1,230.08 = 795.14 : x
  2. Step 2: Convert to fraction form
    823.97/1,230.08 = 795.14/x
  3. Step 3: Cross multiply
    823.97x = 1,230.08 × 795.14
  4. Step 4: Simplify right side
    823.97x = 978,075.69
  5. Step 5: Solve for x
    x = 978,075.69/823.97
  6. Step 6: Final answer
    x = 1,187.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.