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Finding the Fourth Proportional to 889.62, 1,227.60 and 496.50

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Solution

The fourth proportional to 889.62, 1,227.60 and 496.50 is: 685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.62 : 1,227.60 = 496.50 : x
  2. Step 2: Convert to fraction form
    889.62/1,227.60 = 496.50/x
  3. Step 3: Cross multiply
    889.62x = 1,227.60 × 496.50
  4. Step 4: Simplify right side
    889.62x = 609,503.40
  5. Step 5: Solve for x
    x = 609,503.40/889.62
  6. Step 6: Final answer
    x = 685.13

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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.