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Finding the Fourth Proportional to 879.04, 1,212.92 and 505.99

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Solution

The fourth proportional to 879.04, 1,212.92 and 505.99 is: 698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.04 : 1,212.92 = 505.99 : x
  2. Step 2: Convert to fraction form
    879.04/1,212.92 = 505.99/x
  3. Step 3: Cross multiply
    879.04x = 1,212.92 × 505.99
  4. Step 4: Simplify right side
    879.04x = 613,719.33
  5. Step 5: Solve for x
    x = 613,719.33/879.04
  6. Step 6: Final answer
    x = 698.17

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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.