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Finding the Fourth Proportional to 1,588.45, 2,382.91 and 492.90

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Solution

The fourth proportional to 1,588.45, 2,382.91 and 492.90 is: 739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.45 : 2,382.91 = 492.90 : x
  2. Step 2: Convert to fraction form
    1,588.45/2,382.91 = 492.90/x
  3. Step 3: Cross multiply
    1,588.45x = 2,382.91 × 492.90
  4. Step 4: Simplify right side
    1,588.45x = 1,174,539.83
  5. Step 5: Solve for x
    x = 1,174,539.83/1,588.45
  6. Step 6: Final answer
    x = 739.43

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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.