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Finding the Fourth Proportional to 1,588.73, 2,382.29 and 492.95

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Solution

The fourth proportional to 1,588.73, 2,382.29 and 492.95 is: 739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.73 : 2,382.29 = 492.95 : x
  2. Step 2: Convert to fraction form
    1,588.73/2,382.29 = 492.95/x
  3. Step 3: Cross multiply
    1,588.73x = 2,382.29 × 492.95
  4. Step 4: Simplify right side
    1,588.73x = 1,174,355.20
  5. Step 5: Solve for x
    x = 1,174,355.20/1,588.73
  6. Step 6: Final answer
    x = 739.18

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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.