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Finding the Fourth Proportional to 879.36, 1,212.96 and 569.28

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Solution

The fourth proportional to 879.36, 1,212.96 and 569.28 is: 785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.36 : 1,212.96 = 569.28 : x
  2. Step 2: Convert to fraction form
    879.36/1,212.96 = 569.28/x
  3. Step 3: Cross multiply
    879.36x = 1,212.96 × 569.28
  4. Step 4: Simplify right side
    879.36x = 690,513.87
  5. Step 5: Solve for x
    x = 690,513.87/879.36
  6. Step 6: Final answer
    x = 785.25

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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.