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Finding the Fourth Proportional to 793.96, 1,097.28 and 597.40

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Solution

The fourth proportional to 793.96, 1,097.28 and 597.40 is: 825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.96 : 1,097.28 = 597.40 : x
  2. Step 2: Convert to fraction form
    793.96/1,097.28 = 597.40/x
  3. Step 3: Cross multiply
    793.96x = 1,097.28 × 597.40
  4. Step 4: Simplify right side
    793.96x = 655,515.07
  5. Step 5: Solve for x
    x = 655,515.07/793.96
  6. Step 6: Final answer
    x = 825.63

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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.