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Finding the Fourth Proportional to 878.84, 1,310.52 and 835.80

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Solution

The fourth proportional to 878.84, 1,310.52 and 835.80 is: 1,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.84 : 1,310.52 = 835.80 : x
  2. Step 2: Convert to fraction form
    878.84/1,310.52 = 835.80/x
  3. Step 3: Cross multiply
    878.84x = 1,310.52 × 835.80
  4. Step 4: Simplify right side
    878.84x = 1,095,332.62
  5. Step 5: Solve for x
    x = 1,095,332.62/878.84
  6. Step 6: Final answer
    x = 1,246.34

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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.