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Finding the Fourth Proportional to 1,596.83, 2,395.94 and 622.59

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Solution

The fourth proportional to 1,596.83, 2,395.94 and 622.59 is: 934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.83 : 2,395.94 = 622.59 : x
  2. Step 2: Convert to fraction form
    1,596.83/2,395.94 = 622.59/x
  3. Step 3: Cross multiply
    1,596.83x = 2,395.94 × 622.59
  4. Step 4: Simplify right side
    1,596.83x = 1,491,685.17
  5. Step 5: Solve for x
    x = 1,491,685.17/1,596.83
  6. Step 6: Final answer
    x = 934.16

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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.