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Finding the Fourth Proportional to 795.38, 1,097.15 and 608.67

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Solution

The fourth proportional to 795.38, 1,097.15 and 608.67 is: 839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.38 : 1,097.15 = 608.67 : x
  2. Step 2: Convert to fraction form
    795.38/1,097.15 = 608.67/x
  3. Step 3: Cross multiply
    795.38x = 1,097.15 × 608.67
  4. Step 4: Simplify right side
    795.38x = 667,799.25
  5. Step 5: Solve for x
    x = 667,799.25/795.38
  6. Step 6: Final answer
    x = 839.60

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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.