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Finding the Fourth Proportional to 889.71, 1,227.71 and 496.71

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Solution

The fourth proportional to 889.71, 1,227.71 and 496.71 is: 685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.71 : 1,227.71 = 496.71 : x
  2. Step 2: Convert to fraction form
    889.71/1,227.71 = 496.71/x
  3. Step 3: Cross multiply
    889.71x = 1,227.71 × 496.71
  4. Step 4: Simplify right side
    889.71x = 609,813.35
  5. Step 5: Solve for x
    x = 609,813.35/889.71
  6. Step 6: Final answer
    x = 685.41

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1.5x scale

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.