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Finding the Fourth Proportional to 1,586.98, 2,380.83 and 491.23

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Solution

The fourth proportional to 1,586.98, 2,380.83 and 491.23 is: 736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.98 : 2,380.83 = 491.23 : x
  2. Step 2: Convert to fraction form
    1,586.98/2,380.83 = 491.23/x
  3. Step 3: Cross multiply
    1,586.98x = 2,380.83 × 491.23
  4. Step 4: Simplify right side
    1,586.98x = 1,169,535.12
  5. Step 5: Solve for x
    x = 1,169,535.12/1,586.98
  6. Step 6: Final answer
    x = 736.96

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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.