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Finding the Fourth Proportional to 1,588.06, 2,382.23 and 547.95

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Solution

The fourth proportional to 1,588.06, 2,382.23 and 547.95 is: 821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.06 : 2,382.23 = 547.95 : x
  2. Step 2: Convert to fraction form
    1,588.06/2,382.23 = 547.95/x
  3. Step 3: Cross multiply
    1,588.06x = 2,382.23 × 547.95
  4. Step 4: Simplify right side
    1,588.06x = 1,305,342.93
  5. Step 5: Solve for x
    x = 1,305,342.93/1,588.06
  6. Step 6: Final answer
    x = 821.97

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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.