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Finding the Fourth Proportional to 792.79, 1,093.50 and 497.75

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Solution

The fourth proportional to 792.79, 1,093.50 and 497.75 is: 686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.79 : 1,093.50 = 497.75 : x
  2. Step 2: Convert to fraction form
    792.79/1,093.50 = 497.75/x
  3. Step 3: Cross multiply
    792.79x = 1,093.50 × 497.75
  4. Step 4: Simplify right side
    792.79x = 544,284.16
  5. Step 5: Solve for x
    x = 544,284.16/792.79
  6. Step 6: Final answer
    x = 686.54

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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.