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Finding the Fourth Proportional to 1,588.56, 2,382.98 and 493.17

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Solution

The fourth proportional to 1,588.56, 2,382.98 and 493.17 is: 739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.56 : 2,382.98 = 493.17 : x
  2. Step 2: Convert to fraction form
    1,588.56/2,382.98 = 493.17/x
  3. Step 3: Cross multiply
    1,588.56x = 2,382.98 × 493.17
  4. Step 4: Simplify right side
    1,588.56x = 1,175,211.78
  5. Step 5: Solve for x
    x = 1,175,211.78/1,588.56
  6. Step 6: Final answer
    x = 739.80

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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.