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Finding the Fourth Proportional to 878.96, 1,210.92 and 731.36

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Solution

The fourth proportional to 878.96, 1,210.92 and 731.36 is: 1,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.96 : 1,210.92 = 731.36 : x
  2. Step 2: Convert to fraction form
    878.96/1,210.92 = 731.36/x
  3. Step 3: Cross multiply
    878.96x = 1,210.92 × 731.36
  4. Step 4: Simplify right side
    878.96x = 885,618.45
  5. Step 5: Solve for x
    x = 885,618.45/878.96
  6. Step 6: Final answer
    x = 1,007.58

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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.