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Finding the Fourth Proportional to 900.56, 1,238.64 and 769.28

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Solution

The fourth proportional to 900.56, 1,238.64 and 769.28 is: 1,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.56 : 1,238.64 = 769.28 : x
  2. Step 2: Convert to fraction form
    900.56/1,238.64 = 769.28/x
  3. Step 3: Cross multiply
    900.56x = 1,238.64 × 769.28
  4. Step 4: Simplify right side
    900.56x = 952,860.98
  5. Step 5: Solve for x
    x = 952,860.98/900.56
  6. Step 6: Final answer
    x = 1,058.08

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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.