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Finding the Fourth Proportional to 1,739.11, 2,608.66 and 585.67

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Solution

The fourth proportional to 1,739.11, 2,608.66 and 585.67 is: 878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.11 : 2,608.66 = 585.67 : x
  2. Step 2: Convert to fraction form
    1,739.11/2,608.66 = 585.67/x
  3. Step 3: Cross multiply
    1,739.11x = 2,608.66 × 585.67
  4. Step 4: Simplify right side
    1,739.11x = 1,527,813.90
  5. Step 5: Solve for x
    x = 1,527,813.90/1,739.11
  6. Step 6: Final answer
    x = 878.50

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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.