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Finding the Fourth Proportional to 804.30, 1,199.67 and 733.56

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Solution

The fourth proportional to 804.30, 1,199.67 and 733.56 is: 1,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.30 : 1,199.67 = 733.56 : x
  2. Step 2: Convert to fraction form
    804.30/1,199.67 = 733.56/x
  3. Step 3: Cross multiply
    804.30x = 1,199.67 × 733.56
  4. Step 4: Simplify right side
    804.30x = 880,029.93
  5. Step 5: Solve for x
    x = 880,029.93/804.30
  6. Step 6: Final answer
    x = 1,094.16

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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.