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Finding the Fourth Proportional to 795.26, 1,097.10 and 515.59

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Solution

The fourth proportional to 795.26, 1,097.10 and 515.59 is: 711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.26 : 1,097.10 = 515.59 : x
  2. Step 2: Convert to fraction form
    795.26/1,097.10 = 515.59/x
  3. Step 3: Cross multiply
    795.26x = 1,097.10 × 515.59
  4. Step 4: Simplify right side
    795.26x = 565,651.05
  5. Step 5: Solve for x
    x = 565,651.05/795.26
  6. Step 6: Final answer
    x = 711.28

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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.