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Finding the Fourth Proportional to 881.84, 1,323.02 and 362.05

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Solution

The fourth proportional to 881.84, 1,323.02 and 362.05 is: 543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.84 : 1,323.02 = 362.05 : x
  2. Step 2: Convert to fraction form
    881.84/1,323.02 = 362.05/x
  3. Step 3: Cross multiply
    881.84x = 1,323.02 × 362.05
  4. Step 4: Simplify right side
    881.84x = 478,996.99
  5. Step 5: Solve for x
    x = 478,996.99/881.84
  6. Step 6: Final answer
    x = 543.18

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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.