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Finding the Fourth Proportional to 795.21, 1,097.96 and 515.63

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Solution

The fourth proportional to 795.21, 1,097.96 and 515.63 is: 711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.21 : 1,097.96 = 515.63 : x
  2. Step 2: Convert to fraction form
    795.21/1,097.96 = 515.63/x
  3. Step 3: Cross multiply
    795.21x = 1,097.96 × 515.63
  4. Step 4: Simplify right side
    795.21x = 566,133.05
  5. Step 5: Solve for x
    x = 566,133.05/795.21
  6. Step 6: Final answer
    x = 711.93

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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.