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Finding the Fourth Proportional to 792.16, 1,188.96 and 407.68

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Solution

The fourth proportional to 792.16, 1,188.96 and 407.68 is: 611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.16 : 1,188.96 = 407.68 : x
  2. Step 2: Convert to fraction form
    792.16/1,188.96 = 407.68/x
  3. Step 3: Cross multiply
    792.16x = 1,188.96 × 407.68
  4. Step 4: Simplify right side
    792.16x = 484,715.21
  5. Step 5: Solve for x
    x = 484,715.21/792.16
  6. Step 6: Final answer
    x = 611.89

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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.