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Finding the Fourth Proportional to 1,588.73, 2,382.98 and 663.95

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Solution

The fourth proportional to 1,588.73, 2,382.98 and 663.95 is: 995.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.73 : 2,382.98 = 663.95 : x
  2. Step 2: Convert to fraction form
    1,588.73/2,382.98 = 663.95/x
  3. Step 3: Cross multiply
    1,588.73x = 2,382.98 × 663.95
  4. Step 4: Simplify right side
    1,588.73x = 1,582,164.34
  5. Step 5: Solve for x
    x = 1,582,164.34/1,588.73
  6. Step 6: Final answer
    x = 995.87

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