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Finding the Fourth Proportional to 1,599.50, 2,395.38 and 775.74

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Solution

The fourth proportional to 1,599.50, 2,395.38 and 775.74 is: 1,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.50 : 2,395.38 = 775.74 : x
  2. Step 2: Convert to fraction form
    1,599.50/2,395.38 = 775.74/x
  3. Step 3: Cross multiply
    1,599.50x = 2,395.38 × 775.74
  4. Step 4: Simplify right side
    1,599.50x = 1,858,192.08
  5. Step 5: Solve for x
    x = 1,858,192.08/1,599.50
  6. Step 6: Final answer
    x = 1,161.73

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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.