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Finding the Fourth Proportional to 1,588.67, 2,383.41 and 614.84

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Solution

The fourth proportional to 1,588.67, 2,383.41 and 614.84 is: 922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.67 : 2,383.41 = 614.84 : x
  2. Step 2: Convert to fraction form
    1,588.67/2,383.41 = 614.84/x
  3. Step 3: Cross multiply
    1,588.67x = 2,383.41 × 614.84
  4. Step 4: Simplify right side
    1,588.67x = 1,465,415.80
  5. Step 5: Solve for x
    x = 1,465,415.80/1,588.67
  6. Step 6: Final answer
    x = 922.42

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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.