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Finding the Fourth Proportional to 872.89, 1,309.32 and 586.15

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Solution

The fourth proportional to 872.89, 1,309.32 and 586.15 is: 879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.89 : 1,309.32 = 586.15 : x
  2. Step 2: Convert to fraction form
    872.89/1,309.32 = 586.15/x
  3. Step 3: Cross multiply
    872.89x = 1,309.32 × 586.15
  4. Step 4: Simplify right side
    872.89x = 767,457.92
  5. Step 5: Solve for x
    x = 767,457.92/872.89
  6. Step 6: Final answer
    x = 879.21

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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.