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Finding the Fourth Proportional to 1,402.77, 1,935.78 and 879.09

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Solution

The fourth proportional to 1,402.77, 1,935.78 and 879.09 is: 1,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.77 : 1,935.78 = 879.09 : x
  2. Step 2: Convert to fraction form
    1,402.77/1,935.78 = 879.09/x
  3. Step 3: Cross multiply
    1,402.77x = 1,935.78 × 879.09
  4. Step 4: Simplify right side
    1,402.77x = 1,701,724.84
  5. Step 5: Solve for x
    x = 1,701,724.84/1,402.77
  6. Step 6: Final answer
    x = 1,213.12

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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.