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Finding the Fourth Proportional to 879.03, 1,212.80 and 506.00

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Solution

The fourth proportional to 879.03, 1,212.80 and 506.00 is: 698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.03 : 1,212.80 = 506.00 : x
  2. Step 2: Convert to fraction form
    879.03/1,212.80 = 506.00/x
  3. Step 3: Cross multiply
    879.03x = 1,212.80 × 506.00
  4. Step 4: Simplify right side
    879.03x = 613,677.34
  5. Step 5: Solve for x
    x = 613,677.34/879.03
  6. Step 6: Final answer
    x = 698.13

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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.