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Finding the Fourth Proportional to 792.82, 1,186.80 and 533.05

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Solution

The fourth proportional to 792.82, 1,186.80 and 533.05 is: 797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.82 : 1,186.80 = 533.05 : x
  2. Step 2: Convert to fraction form
    792.82/1,186.80 = 533.05/x
  3. Step 3: Cross multiply
    792.82x = 1,186.80 × 533.05
  4. Step 4: Simplify right side
    792.82x = 632,623.74
  5. Step 5: Solve for x
    x = 632,623.74/792.82
  6. Step 6: Final answer
    x = 797.94

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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.