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Finding the Fourth Proportional to 804, 1,199.73 and 731.28

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Solution

The fourth proportional to 804, 1,199.73 and 731.28 is: 1,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    804 : 1,199.73 = 731.28 : x
  2. Step 2: Convert to fraction form
    804/1,199.73 = 731.28/x
  3. Step 3: Cross multiply
    804x = 1,199.73 × 731.28
  4. Step 4: Simplify right side
    804x = 877,338.55
  5. Step 5: Solve for x
    x = 877,338.55/804
  6. Step 6: Final answer
    x = 1,091.22

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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.