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Finding the Fourth Proportional to 878.87, 1,316.23 and 696.38

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Solution

The fourth proportional to 878.87, 1,316.23 and 696.38 is: 1,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.87 : 1,316.23 = 696.38 : x
  2. Step 2: Convert to fraction form
    878.87/1,316.23 = 696.38/x
  3. Step 3: Cross multiply
    878.87x = 1,316.23 × 696.38
  4. Step 4: Simplify right side
    878.87x = 916,599.25
  5. Step 5: Solve for x
    x = 916,599.25/878.87
  6. Step 6: Final answer
    x = 1,042.93

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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.