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Finding the Fourth Proportional to 1,759.75, 2,639.75 and 589.71

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Solution

The fourth proportional to 1,759.75, 2,639.75 and 589.71 is: 884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.75 : 2,639.75 = 589.71 : x
  2. Step 2: Convert to fraction form
    1,759.75/2,639.75 = 589.71/x
  3. Step 3: Cross multiply
    1,759.75x = 2,639.75 × 589.71
  4. Step 4: Simplify right side
    1,759.75x = 1,556,686.97
  5. Step 5: Solve for x
    x = 1,556,686.97/1,759.75
  6. Step 6: Final answer
    x = 884.61

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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.