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Finding the Fourth Proportional to 889.68, 1,227.76 and 496.72

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Solution

The fourth proportional to 889.68, 1,227.76 and 496.72 is: 685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.68 : 1,227.76 = 496.72 : x
  2. Step 2: Convert to fraction form
    889.68/1,227.76 = 496.72/x
  3. Step 3: Cross multiply
    889.68x = 1,227.76 × 496.72
  4. Step 4: Simplify right side
    889.68x = 609,852.95
  5. Step 5: Solve for x
    x = 609,852.95/889.68
  6. Step 6: Final answer
    x = 685.47

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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.