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Finding the Fourth Proportional to 804.27, 1,199.62 and 733.53

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Solution

The fourth proportional to 804.27, 1,199.62 and 733.53 is: 1,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.27 : 1,199.62 = 733.53 : x
  2. Step 2: Convert to fraction form
    804.27/1,199.62 = 733.53/x
  3. Step 3: Cross multiply
    804.27x = 1,199.62 × 733.53
  4. Step 4: Simplify right side
    804.27x = 879,957.26
  5. Step 5: Solve for x
    x = 879,957.26/804.27
  6. Step 6: Final answer
    x = 1,094.11

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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.