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Finding the Fourth Proportional to 803.10, 1,204.17 and 315.57

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Solution

The fourth proportional to 803.10, 1,204.17 and 315.57 is: 473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.10 : 1,204.17 = 315.57 : x
  2. Step 2: Convert to fraction form
    803.10/1,204.17 = 315.57/x
  3. Step 3: Cross multiply
    803.10x = 1,204.17 × 315.57
  4. Step 4: Simplify right side
    803.10x = 379,999.93
  5. Step 5: Solve for x
    x = 379,999.93/803.10
  6. Step 6: Final answer
    x = 473.17

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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.