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Finding the Fourth Proportional to 878.77, 1,196.45 and 876.03

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Solution

The fourth proportional to 878.77, 1,196.45 and 876.03 is: 1,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.77 : 1,196.45 = 876.03 : x
  2. Step 2: Convert to fraction form
    878.77/1,196.45 = 876.03/x
  3. Step 3: Cross multiply
    878.77x = 1,196.45 × 876.03
  4. Step 4: Simplify right side
    878.77x = 1,048,126.09
  5. Step 5: Solve for x
    x = 1,048,126.09/878.77
  6. Step 6: Final answer
    x = 1,192.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.