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Finding the Fourth Proportional to 798.85, 1,102.55 and 597.97

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Solution

The fourth proportional to 798.85, 1,102.55 and 597.97 is: 825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.85 : 1,102.55 = 597.97 : x
  2. Step 2: Convert to fraction form
    798.85/1,102.55 = 597.97/x
  3. Step 3: Cross multiply
    798.85x = 1,102.55 × 597.97
  4. Step 4: Simplify right side
    798.85x = 659,291.82
  5. Step 5: Solve for x
    x = 659,291.82/798.85
  6. Step 6: Final answer
    x = 825.30

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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.