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Finding the Fourth Proportional to 794.92, 1,097.64 and 675.72

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Solution

The fourth proportional to 794.92, 1,097.64 and 675.72 is: 933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.92 : 1,097.64 = 675.72 : x
  2. Step 2: Convert to fraction form
    794.92/1,097.64 = 675.72/x
  3. Step 3: Cross multiply
    794.92x = 1,097.64 × 675.72
  4. Step 4: Simplify right side
    794.92x = 741,697.30
  5. Step 5: Solve for x
    x = 741,697.30/794.92
  6. Step 6: Final answer
    x = 933.05

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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.