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Finding the Fourth Proportional to 1,163.69, 1,746.04 and 433.14

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Solution

The fourth proportional to 1,163.69, 1,746.04 and 433.14 is: 649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.69 : 1,746.04 = 433.14 : x
  2. Step 2: Convert to fraction form
    1,163.69/1,746.04 = 433.14/x
  3. Step 3: Cross multiply
    1,163.69x = 1,746.04 × 433.14
  4. Step 4: Simplify right side
    1,163.69x = 756,279.77
  5. Step 5: Solve for x
    x = 756,279.77/1,163.69
  6. Step 6: Final answer
    x = 649.90

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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.