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Finding the Fourth Proportional to 1,524.71, 2,286.97 and 601.02

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Solution

The fourth proportional to 1,524.71, 2,286.97 and 601.02 is: 901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.71 : 2,286.97 = 601.02 : x
  2. Step 2: Convert to fraction form
    1,524.71/2,286.97 = 601.02/x
  3. Step 3: Cross multiply
    1,524.71x = 2,286.97 × 601.02
  4. Step 4: Simplify right side
    1,524.71x = 1,374,513.21
  5. Step 5: Solve for x
    x = 1,374,513.21/1,524.71
  6. Step 6: Final answer
    x = 901.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.