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Finding the Fourth Proportional to 878.70, 1,310.54 and 847.74

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Solution

The fourth proportional to 878.70, 1,310.54 and 847.74 is: 1,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.70 : 1,310.54 = 847.74 : x
  2. Step 2: Convert to fraction form
    878.70/1,310.54 = 847.74/x
  3. Step 3: Cross multiply
    878.70x = 1,310.54 × 847.74
  4. Step 4: Simplify right side
    878.70x = 1,110,992.94
  5. Step 5: Solve for x
    x = 1,110,992.94/878.70
  6. Step 6: Final answer
    x = 1,264.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.