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Finding the Fourth Proportional to 1,104.86, 1,657.02 and 324.86

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Solution

The fourth proportional to 1,104.86, 1,657.02 and 324.86 is: 487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.86 : 1,657.02 = 324.86 : x
  2. Step 2: Convert to fraction form
    1,104.86/1,657.02 = 324.86/x
  3. Step 3: Cross multiply
    1,104.86x = 1,657.02 × 324.86
  4. Step 4: Simplify right side
    1,104.86x = 538,299.52
  5. Step 5: Solve for x
    x = 538,299.52/1,104.86
  6. Step 6: Final answer
    x = 487.21

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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.