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Finding the Fourth Proportional to 909.34, 1,251.99 and 792.86

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Solution

The fourth proportional to 909.34, 1,251.99 and 792.86 is: 1,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.34 : 1,251.99 = 792.86 : x
  2. Step 2: Convert to fraction form
    909.34/1,251.99 = 792.86/x
  3. Step 3: Cross multiply
    909.34x = 1,251.99 × 792.86
  4. Step 4: Simplify right side
    909.34x = 992,646.53
  5. Step 5: Solve for x
    x = 992,646.53/909.34
  6. Step 6: Final answer
    x = 1,091.62

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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.