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Finding the Fourth Proportional to 792.10, 1,188.20 and 305.15

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Solution

The fourth proportional to 792.10, 1,188.20 and 305.15 is: 457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.10 : 1,188.20 = 305.15 : x
  2. Step 2: Convert to fraction form
    792.10/1,188.20 = 305.15/x
  3. Step 3: Cross multiply
    792.10x = 1,188.20 × 305.15
  4. Step 4: Simplify right side
    792.10x = 362,580.74
  5. Step 5: Solve for x
    x = 362,580.74/792.10
  6. Step 6: Final answer
    x = 457.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.