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Finding the Fourth Proportional to 1,524.34, 2,286.33 and 646.97

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Solution

The fourth proportional to 1,524.34, 2,286.33 and 646.97 is: 970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.34 : 2,286.33 = 646.97 : x
  2. Step 2: Convert to fraction form
    1,524.34/2,286.33 = 646.97/x
  3. Step 3: Cross multiply
    1,524.34x = 2,286.33 × 646.97
  4. Step 4: Simplify right side
    1,524.34x = 1,479,186.92
  5. Step 5: Solve for x
    x = 1,479,186.92/1,524.34
  6. Step 6: Final answer
    x = 970.38

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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.