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Finding the Fourth Proportional to 803.42, 1,204.89 and 341.18

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Solution

The fourth proportional to 803.42, 1,204.89 and 341.18 is: 511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.42 : 1,204.89 = 341.18 : x
  2. Step 2: Convert to fraction form
    803.42/1,204.89 = 341.18/x
  3. Step 3: Cross multiply
    803.42x = 1,204.89 × 341.18
  4. Step 4: Simplify right side
    803.42x = 411,084.37
  5. Step 5: Solve for x
    x = 411,084.37/803.42
  6. Step 6: Final answer
    x = 511.67

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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.