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Finding the Fourth Proportional to 794.86, 1,097.64 and 598.04

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Solution

The fourth proportional to 794.86, 1,097.64 and 598.04 is: 825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.86 : 1,097.64 = 598.04 : x
  2. Step 2: Convert to fraction form
    794.86/1,097.64 = 598.04/x
  3. Step 3: Cross multiply
    794.86x = 1,097.64 × 598.04
  4. Step 4: Simplify right side
    794.86x = 656,432.63
  5. Step 5: Solve for x
    x = 656,432.63/794.86
  6. Step 6: Final answer
    x = 825.85

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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.