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Finding the Fourth Proportional to 803.26, 1,203.33 and 494.20

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Solution

The fourth proportional to 803.26, 1,203.33 and 494.20 is: 740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.26 : 1,203.33 = 494.20 : x
  2. Step 2: Convert to fraction form
    803.26/1,203.33 = 494.20/x
  3. Step 3: Cross multiply
    803.26x = 1,203.33 × 494.20
  4. Step 4: Simplify right side
    803.26x = 594,685.69
  5. Step 5: Solve for x
    x = 594,685.69/803.26
  6. Step 6: Final answer
    x = 740.34

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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.