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Finding the Fourth Proportional to 878.37, 1,212.13 and 500.33

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Solution

The fourth proportional to 878.37, 1,212.13 and 500.33 is: 690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.37 : 1,212.13 = 500.33 : x
  2. Step 2: Convert to fraction form
    878.37/1,212.13 = 500.33/x
  3. Step 3: Cross multiply
    878.37x = 1,212.13 × 500.33
  4. Step 4: Simplify right side
    878.37x = 606,465.00
  5. Step 5: Solve for x
    x = 606,465.00/878.37
  6. Step 6: Final answer
    x = 690.44

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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.