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Finding the Fourth Proportional to 795.78, 1,097.96 and 459.60

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Solution

The fourth proportional to 795.78, 1,097.96 and 459.60 is: 634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.78 : 1,097.96 = 459.60 : x
  2. Step 2: Convert to fraction form
    795.78/1,097.96 = 459.60/x
  3. Step 3: Cross multiply
    795.78x = 1,097.96 × 459.60
  4. Step 4: Simplify right side
    795.78x = 504,622.42
  5. Step 5: Solve for x
    x = 504,622.42/795.78
  6. Step 6: Final answer
    x = 634.12

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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.