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Finding the Fourth Proportional to 794.55, 1,097.99 and 597.72

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Solution

The fourth proportional to 794.55, 1,097.99 and 597.72 is: 825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.55 : 1,097.99 = 597.72 : x
  2. Step 2: Convert to fraction form
    794.55/1,097.99 = 597.72/x
  3. Step 3: Cross multiply
    794.55x = 1,097.99 × 597.72
  4. Step 4: Simplify right side
    794.55x = 656,287.59
  5. Step 5: Solve for x
    x = 656,287.59/794.55
  6. Step 6: Final answer
    x = 825.99

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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.