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Finding the Fourth Proportional to 1,433.36, 2,147.03 and 737.91

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Solution

The fourth proportional to 1,433.36, 2,147.03 and 737.91 is: 1,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.36 : 2,147.03 = 737.91 : x
  2. Step 2: Convert to fraction form
    1,433.36/2,147.03 = 737.91/x
  3. Step 3: Cross multiply
    1,433.36x = 2,147.03 × 737.91
  4. Step 4: Simplify right side
    1,433.36x = 1,584,314.91
  5. Step 5: Solve for x
    x = 1,584,314.91/1,433.36
  6. Step 6: Final answer
    x = 1,105.32

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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.