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Finding the Fourth Proportional to 1,104.72, 1,657.34 and 324.71

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Solution

The fourth proportional to 1,104.72, 1,657.34 and 324.71 is: 487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.72 : 1,657.34 = 324.71 : x
  2. Step 2: Convert to fraction form
    1,104.72/1,657.34 = 324.71/x
  3. Step 3: Cross multiply
    1,104.72x = 1,657.34 × 324.71
  4. Step 4: Simplify right side
    1,104.72x = 538,154.87
  5. Step 5: Solve for x
    x = 538,154.87/1,104.72
  6. Step 6: Final answer
    x = 487.14

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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.