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Finding the Fourth Proportional to 808.98, 1,213.49 and 322.03

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Solution

The fourth proportional to 808.98, 1,213.49 and 322.03 is: 483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.98 : 1,213.49 = 322.03 : x
  2. Step 2: Convert to fraction form
    808.98/1,213.49 = 322.03/x
  3. Step 3: Cross multiply
    808.98x = 1,213.49 × 322.03
  4. Step 4: Simplify right side
    808.98x = 390,780.18
  5. Step 5: Solve for x
    x = 390,780.18/808.98
  6. Step 6: Final answer
    x = 483.05

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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.