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Finding the Fourth Proportional to 792.99, 1,188.75 and 305.94

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Solution

The fourth proportional to 792.99, 1,188.75 and 305.94 is: 458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.99 : 1,188.75 = 305.94 : x
  2. Step 2: Convert to fraction form
    792.99/1,188.75 = 305.94/x
  3. Step 3: Cross multiply
    792.99x = 1,188.75 × 305.94
  4. Step 4: Simplify right side
    792.99x = 363,686.18
  5. Step 5: Solve for x
    x = 363,686.18/792.99
  6. Step 6: Final answer
    x = 458.63

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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.