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Finding the Fourth Proportional to 795.69, 1,097.01 and 606.96

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Solution

The fourth proportional to 795.69, 1,097.01 and 606.96 is: 836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.69 : 1,097.01 = 606.96 : x
  2. Step 2: Convert to fraction form
    795.69/1,097.01 = 606.96/x
  3. Step 3: Cross multiply
    795.69x = 1,097.01 × 606.96
  4. Step 4: Simplify right side
    795.69x = 665,841.19
  5. Step 5: Solve for x
    x = 665,841.19/795.69
  6. Step 6: Final answer
    x = 836.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.