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Finding the Fourth Proportional to 889.25, 1,226.85 and 557.56

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Solution

The fourth proportional to 889.25, 1,226.85 and 557.56 is: 769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.25 : 1,226.85 = 557.56 : x
  2. Step 2: Convert to fraction form
    889.25/1,226.85 = 557.56/x
  3. Step 3: Cross multiply
    889.25x = 1,226.85 × 557.56
  4. Step 4: Simplify right side
    889.25x = 684,036.35
  5. Step 5: Solve for x
    x = 684,036.35/889.25
  6. Step 6: Final answer
    x = 769.23

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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.