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Finding the Fourth Proportional to 1,759.50, 2,639.14 and 785.48

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Solution

The fourth proportional to 1,759.50, 2,639.14 and 785.48 is: 1,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.50 : 2,639.14 = 785.48 : x
  2. Step 2: Convert to fraction form
    1,759.50/2,639.14 = 785.48/x
  3. Step 3: Cross multiply
    1,759.50x = 2,639.14 × 785.48
  4. Step 4: Simplify right side
    1,759.50x = 2,072,991.69
  5. Step 5: Solve for x
    x = 2,072,991.69/1,759.50
  6. Step 6: Final answer
    x = 1,178.17

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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.