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Finding the Fourth Proportional to 1,586.70, 2,379.78 and 432.18

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Solution

The fourth proportional to 1,586.70, 2,379.78 and 432.18 is: 648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.70 : 2,379.78 = 432.18 : x
  2. Step 2: Convert to fraction form
    1,586.70/2,379.78 = 432.18/x
  3. Step 3: Cross multiply
    1,586.70x = 2,379.78 × 432.18
  4. Step 4: Simplify right side
    1,586.70x = 1,028,493.32
  5. Step 5: Solve for x
    x = 1,028,493.32/1,586.70
  6. Step 6: Final answer
    x = 648.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.