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Finding the Fourth Proportional to 1,587.73, 2,382.27 and 663.47

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Solution

The fourth proportional to 1,587.73, 2,382.27 and 663.47 is: 995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.73 : 2,382.27 = 663.47 : x
  2. Step 2: Convert to fraction form
    1,587.73/2,382.27 = 663.47/x
  3. Step 3: Cross multiply
    1,587.73x = 2,382.27 × 663.47
  4. Step 4: Simplify right side
    1,587.73x = 1,580,564.68
  5. Step 5: Solve for x
    x = 1,580,564.68/1,587.73
  6. Step 6: Final answer
    x = 995.49

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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.