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Finding the Fourth Proportional to 1,214.97, 1,822.67 and 804.45

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Solution

The fourth proportional to 1,214.97, 1,822.67 and 804.45 is: 1,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.97 : 1,822.67 = 804.45 : x
  2. Step 2: Convert to fraction form
    1,214.97/1,822.67 = 804.45/x
  3. Step 3: Cross multiply
    1,214.97x = 1,822.67 × 804.45
  4. Step 4: Simplify right side
    1,214.97x = 1,466,239.78
  5. Step 5: Solve for x
    x = 1,466,239.78/1,214.97
  6. Step 6: Final answer
    x = 1,206.81

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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.