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Finding the Fourth Proportional to 889.27, 1,226.68 and 578.77

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Solution

The fourth proportional to 889.27, 1,226.68 and 578.77 is: 798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.27 : 1,226.68 = 578.77 : x
  2. Step 2: Convert to fraction form
    889.27/1,226.68 = 578.77/x
  3. Step 3: Cross multiply
    889.27x = 1,226.68 × 578.77
  4. Step 4: Simplify right side
    889.27x = 709,965.58
  5. Step 5: Solve for x
    x = 709,965.58/889.27
  6. Step 6: Final answer
    x = 798.37

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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.