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Finding the Fourth Proportional to 792.42, 1,093.50 and 556.68

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Solution

The fourth proportional to 792.42, 1,093.50 and 556.68 is: 768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.42 : 1,093.50 = 556.68 : x
  2. Step 2: Convert to fraction form
    792.42/1,093.50 = 556.68/x
  3. Step 3: Cross multiply
    792.42x = 1,093.50 × 556.68
  4. Step 4: Simplify right side
    792.42x = 608,729.58
  5. Step 5: Solve for x
    x = 608,729.58/792.42
  6. Step 6: Final answer
    x = 768.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.