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Finding the Fourth Proportional to 889.57, 1,227.52 and 496.58

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Solution

The fourth proportional to 889.57, 1,227.52 and 496.58 is: 685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.57 : 1,227.52 = 496.58 : x
  2. Step 2: Convert to fraction form
    889.57/1,227.52 = 496.58/x
  3. Step 3: Cross multiply
    889.57x = 1,227.52 × 496.58
  4. Step 4: Simplify right side
    889.57x = 609,559.40
  5. Step 5: Solve for x
    x = 609,559.40/889.57
  6. Step 6: Final answer
    x = 685.23

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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.