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Finding the Fourth Proportional to 1,146.59, 1,719.97 and 324.92

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Solution

The fourth proportional to 1,146.59, 1,719.97 and 324.92 is: 487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.59 : 1,719.97 = 324.92 : x
  2. Step 2: Convert to fraction form
    1,146.59/1,719.97 = 324.92/x
  3. Step 3: Cross multiply
    1,146.59x = 1,719.97 × 324.92
  4. Step 4: Simplify right side
    1,146.59x = 558,857.87
  5. Step 5: Solve for x
    x = 558,857.87/1,146.59
  6. Step 6: Final answer
    x = 487.41

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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.