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Finding the Fourth Proportional to 1,524.69, 2,287.73 and 647.43

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Solution

The fourth proportional to 1,524.69, 2,287.73 and 647.43 is: 971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.69 : 2,287.73 = 647.43 : x
  2. Step 2: Convert to fraction form
    1,524.69/2,287.73 = 647.43/x
  3. Step 3: Cross multiply
    1,524.69x = 2,287.73 × 647.43
  4. Step 4: Simplify right side
    1,524.69x = 1,481,141.80
  5. Step 5: Solve for x
    x = 1,481,141.80/1,524.69
  6. Step 6: Final answer
    x = 971.44

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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.