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Finding the Fourth Proportional to 803.67, 1,203.21 and 599.19

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Solution

The fourth proportional to 803.67, 1,203.21 and 599.19 is: 897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.67 : 1,203.21 = 599.19 : x
  2. Step 2: Convert to fraction form
    803.67/1,203.21 = 599.19/x
  3. Step 3: Cross multiply
    803.67x = 1,203.21 × 599.19
  4. Step 4: Simplify right side
    803.67x = 720,951.40
  5. Step 5: Solve for x
    x = 720,951.40/803.67
  6. Step 6: Final answer
    x = 897.07

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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.