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Finding the Fourth Proportional to 803.35, 1,205.03 and 494.20

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Solution

The fourth proportional to 803.35, 1,205.03 and 494.20 is: 741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.35 : 1,205.03 = 494.20 : x
  2. Step 2: Convert to fraction form
    803.35/1,205.03 = 494.20/x
  3. Step 3: Cross multiply
    803.35x = 1,205.03 × 494.20
  4. Step 4: Simplify right side
    803.35x = 595,525.83
  5. Step 5: Solve for x
    x = 595,525.83/803.35
  6. Step 6: Final answer
    x = 741.30

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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.