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Finding the Fourth Proportional to 792.69, 1,093.84 and 456.71

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Solution

The fourth proportional to 792.69, 1,093.84 and 456.71 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.69 : 1,093.84 = 456.71 : x
  2. Step 2: Convert to fraction form
    792.69/1,093.84 = 456.71/x
  3. Step 3: Cross multiply
    792.69x = 1,093.84 × 456.71
  4. Step 4: Simplify right side
    792.69x = 499,561.06
  5. Step 5: Solve for x
    x = 499,561.06/792.69
  6. Step 6: Final answer
    x = 630.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.