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Finding the Fourth Proportional to 1,588.39, 2,382.69 and 548.50

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Solution

The fourth proportional to 1,588.39, 2,382.69 and 548.50 is: 822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.39 : 2,382.69 = 548.50 : x
  2. Step 2: Convert to fraction form
    1,588.39/2,382.69 = 548.50/x
  3. Step 3: Cross multiply
    1,588.39x = 2,382.69 × 548.50
  4. Step 4: Simplify right side
    1,588.39x = 1,306,890.81
  5. Step 5: Solve for x
    x = 1,306,890.81/1,588.39
  6. Step 6: Final answer
    x = 822.78

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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.