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Finding the Fourth Proportional to 1,145.33, 1,716.12 and 486.68

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Solution

The fourth proportional to 1,145.33, 1,716.12 and 486.68 is: 729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.33 : 1,716.12 = 486.68 : x
  2. Step 2: Convert to fraction form
    1,145.33/1,716.12 = 486.68/x
  3. Step 3: Cross multiply
    1,145.33x = 1,716.12 × 486.68
  4. Step 4: Simplify right side
    1,145.33x = 835,201.28
  5. Step 5: Solve for x
    x = 835,201.28/1,145.33
  6. Step 6: Final answer
    x = 729.22

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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.