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Finding the Fourth Proportional to 792.81, 1,094.48 and 498.24

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Solution

The fourth proportional to 792.81, 1,094.48 and 498.24 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.81 : 1,094.48 = 498.24 : x
  2. Step 2: Convert to fraction form
    792.81/1,094.48 = 498.24/x
  3. Step 3: Cross multiply
    792.81x = 1,094.48 × 498.24
  4. Step 4: Simplify right side
    792.81x = 545,311.22
  5. Step 5: Solve for x
    x = 545,311.22/792.81
  6. Step 6: Final answer
    x = 687.82

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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.