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Finding the Fourth Proportional to 803.21, 1,204.70 and 283.05

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Solution

The fourth proportional to 803.21, 1,204.70 and 283.05 is: 424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.21 : 1,204.70 = 283.05 : x
  2. Step 2: Convert to fraction form
    803.21/1,204.70 = 283.05/x
  3. Step 3: Cross multiply
    803.21x = 1,204.70 × 283.05
  4. Step 4: Simplify right side
    803.21x = 340,988.92
  5. Step 5: Solve for x
    x = 340,988.92/803.21
  6. Step 6: Final answer
    x = 424.54

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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.