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Finding the Fourth Proportional to 794.46, 1,095.76 and 696.05

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Solution

The fourth proportional to 794.46, 1,095.76 and 696.05 is: 960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.46 : 1,095.76 = 696.05 : x
  2. Step 2: Convert to fraction form
    794.46/1,095.76 = 696.05/x
  3. Step 3: Cross multiply
    794.46x = 1,095.76 × 696.05
  4. Step 4: Simplify right side
    794.46x = 762,700.64
  5. Step 5: Solve for x
    x = 762,700.64/794.46
  6. Step 6: Final answer
    x = 960.02

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Why These Related Problems?

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