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Finding the Fourth Proportional to 1,532.97, 2,299.22 and 559.07

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Solution

The fourth proportional to 1,532.97, 2,299.22 and 559.07 is: 838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.97 : 2,299.22 = 559.07 : x
  2. Step 2: Convert to fraction form
    1,532.97/2,299.22 = 559.07/x
  3. Step 3: Cross multiply
    1,532.97x = 2,299.22 × 559.07
  4. Step 4: Simplify right side
    1,532.97x = 1,285,410.63
  5. Step 5: Solve for x
    x = 1,285,410.63/1,532.97
  6. Step 6: Final answer
    x = 838.51

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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.