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Finding the Fourth Proportional to 794.81, 1,097.12 and 597.98

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Solution

The fourth proportional to 794.81, 1,097.12 and 597.98 is: 825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.81 : 1,097.12 = 597.98 : x
  2. Step 2: Convert to fraction form
    794.81/1,097.12 = 597.98/x
  3. Step 3: Cross multiply
    794.81x = 1,097.12 × 597.98
  4. Step 4: Simplify right side
    794.81x = 656,051.83
  5. Step 5: Solve for x
    x = 656,051.83/794.81
  6. Step 6: Final answer
    x = 825.42

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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.