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Finding the Fourth Proportional to 803.27, 1,205.29 and 598.24

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Solution

The fourth proportional to 803.27, 1,205.29 and 598.24 is: 897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.27 : 1,205.29 = 598.24 : x
  2. Step 2: Convert to fraction form
    803.27/1,205.29 = 598.24/x
  3. Step 3: Cross multiply
    803.27x = 1,205.29 × 598.24
  4. Step 4: Simplify right side
    803.27x = 721,052.69
  5. Step 5: Solve for x
    x = 721,052.69/803.27
  6. Step 6: Final answer
    x = 897.65

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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.