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Finding the Fourth Proportional to 1,588.76, 2,383.84 and 548.92

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Solution

The fourth proportional to 1,588.76, 2,383.84 and 548.92 is: 823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.76 : 2,383.84 = 548.92 : x
  2. Step 2: Convert to fraction form
    1,588.76/2,383.84 = 548.92/x
  3. Step 3: Cross multiply
    1,588.76x = 2,383.84 × 548.92
  4. Step 4: Simplify right side
    1,588.76x = 1,308,537.45
  5. Step 5: Solve for x
    x = 1,308,537.45/1,588.76
  6. Step 6: Final answer
    x = 823.62

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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.