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Finding the Fourth Proportional to 793.16, 1,094.76 and 498.44

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Solution

The fourth proportional to 793.16, 1,094.76 and 498.44 is: 687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.16 : 1,094.76 = 498.44 : x
  2. Step 2: Convert to fraction form
    793.16/1,094.76 = 498.44/x
  3. Step 3: Cross multiply
    793.16x = 1,094.76 × 498.44
  4. Step 4: Simplify right side
    793.16x = 545,672.17
  5. Step 5: Solve for x
    x = 545,672.17/793.16
  6. Step 6: Final answer
    x = 687.97

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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.