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Finding the Fourth Proportional to 878.34, 1,213.07 and 824.07

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Solution

The fourth proportional to 878.34, 1,213.07 and 824.07 is: 1,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.34 : 1,213.07 = 824.07 : x
  2. Step 2: Convert to fraction form
    878.34/1,213.07 = 824.07/x
  3. Step 3: Cross multiply
    878.34x = 1,213.07 × 824.07
  4. Step 4: Simplify right side
    878.34x = 999,650.47
  5. Step 5: Solve for x
    x = 999,650.47/878.34
  6. Step 6: Final answer
    x = 1,138.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.