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Finding the Fourth Proportional to 803.12, 1,203.86 and 315.80

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Solution

The fourth proportional to 803.12, 1,203.86 and 315.80 is: 473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.12 : 1,203.86 = 315.80 : x
  2. Step 2: Convert to fraction form
    803.12/1,203.86 = 315.80/x
  3. Step 3: Cross multiply
    803.12x = 1,203.86 × 315.80
  4. Step 4: Simplify right side
    803.12x = 380,178.27
  5. Step 5: Solve for x
    x = 380,178.27/803.12
  6. Step 6: Final answer
    x = 473.38

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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.