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Finding the Fourth Proportional to 879.92, 1,214.56 and 569.36

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Solution

The fourth proportional to 879.92, 1,214.56 and 569.36 is: 785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.92 : 1,214.56 = 569.36 : x
  2. Step 2: Convert to fraction form
    879.92/1,214.56 = 569.36/x
  3. Step 3: Cross multiply
    879.92x = 1,214.56 × 569.36
  4. Step 4: Simplify right side
    879.92x = 691,521.88
  5. Step 5: Solve for x
    x = 691,521.88/879.92
  6. Step 6: Final answer
    x = 785.89

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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.