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Finding the Fourth Proportional to 1,433.77, 2,147.19 and 729.13

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Solution

The fourth proportional to 1,433.77, 2,147.19 and 729.13 is: 1,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.77 : 2,147.19 = 729.13 : x
  2. Step 2: Convert to fraction form
    1,433.77/2,147.19 = 729.13/x
  3. Step 3: Cross multiply
    1,433.77x = 2,147.19 × 729.13
  4. Step 4: Simplify right side
    1,433.77x = 1,565,573.05
  5. Step 5: Solve for x
    x = 1,565,573.05/1,433.77
  6. Step 6: Final answer
    x = 1,091.93

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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.