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Finding the Fourth Proportional to 803.82, 1,204.91 and 310.10

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Solution

The fourth proportional to 803.82, 1,204.91 and 310.10 is: 464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.82 : 1,204.91 = 310.10 : x
  2. Step 2: Convert to fraction form
    803.82/1,204.91 = 310.10/x
  3. Step 3: Cross multiply
    803.82x = 1,204.91 × 310.10
  4. Step 4: Simplify right side
    803.82x = 373,636.18
  5. Step 5: Solve for x
    x = 373,636.18/803.82
  6. Step 6: Final answer
    x = 464.82

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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.