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Finding the Fourth Proportional to 1,586.16, 2,379.24 and 490.56

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Solution

The fourth proportional to 1,586.16, 2,379.24 and 490.56 is: 735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.16 : 2,379.24 = 490.56 : x
  2. Step 2: Convert to fraction form
    1,586.16/2,379.24 = 490.56/x
  3. Step 3: Cross multiply
    1,586.16x = 2,379.24 × 490.56
  4. Step 4: Simplify right side
    1,586.16x = 1,167,159.97
  5. Step 5: Solve for x
    x = 1,167,159.97/1,586.16
  6. Step 6: Final answer
    x = 735.84

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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.