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Finding the Fourth Proportional to 804.42, 1,199.90 and 675.24

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Solution

The fourth proportional to 804.42, 1,199.90 and 675.24 is: 1,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.42 : 1,199.90 = 675.24 : x
  2. Step 2: Convert to fraction form
    804.42/1,199.90 = 675.24/x
  3. Step 3: Cross multiply
    804.42x = 1,199.90 × 675.24
  4. Step 4: Simplify right side
    804.42x = 810,220.48
  5. Step 5: Solve for x
    x = 810,220.48/804.42
  6. Step 6: Final answer
    x = 1,007.21

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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.