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Finding the Fourth Proportional to 879.94, 1,214.73 and 569.38

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Solution

The fourth proportional to 879.94, 1,214.73 and 569.38 is: 786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.94 : 1,214.73 = 569.38 : x
  2. Step 2: Convert to fraction form
    879.94/1,214.73 = 569.38/x
  3. Step 3: Cross multiply
    879.94x = 1,214.73 × 569.38
  4. Step 4: Simplify right side
    879.94x = 691,642.97
  5. Step 5: Solve for x
    x = 691,642.97/879.94
  6. Step 6: Final answer
    x = 786.01

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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.