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Finding the Fourth Proportional to 792.87, 1,094.27 and 498.16

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Solution

The fourth proportional to 792.87, 1,094.27 and 498.16 is: 687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.87 : 1,094.27 = 498.16 : x
  2. Step 2: Convert to fraction form
    792.87/1,094.27 = 498.16/x
  3. Step 3: Cross multiply
    792.87x = 1,094.27 × 498.16
  4. Step 4: Simplify right side
    792.87x = 545,121.54
  5. Step 5: Solve for x
    x = 545,121.54/792.87
  6. Step 6: Final answer
    x = 687.53

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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.