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Finding the Fourth Proportional to 1,588.71, 2,383.30 and 493.17

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Solution

The fourth proportional to 1,588.71, 2,383.30 and 493.17 is: 739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.71 : 2,383.30 = 493.17 : x
  2. Step 2: Convert to fraction form
    1,588.71/2,383.30 = 493.17/x
  3. Step 3: Cross multiply
    1,588.71x = 2,383.30 × 493.17
  4. Step 4: Simplify right side
    1,588.71x = 1,175,372.06
  5. Step 5: Solve for x
    x = 1,175,372.06/1,588.71
  6. Step 6: Final answer
    x = 739.83

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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.