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Finding the Fourth Proportional to 1,588.82, 2,382.62 and 548.62

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Solution

The fourth proportional to 1,588.82, 2,382.62 and 548.62 is: 822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.82 : 2,382.62 = 548.62 : x
  2. Step 2: Convert to fraction form
    1,588.82/2,382.62 = 548.62/x
  3. Step 3: Cross multiply
    1,588.82x = 2,382.62 × 548.62
  4. Step 4: Simplify right side
    1,588.82x = 1,307,157.69
  5. Step 5: Solve for x
    x = 1,307,157.69/1,588.82
  6. Step 6: Final answer
    x = 822.72

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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.