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Finding the Fourth Proportional to 795.05, 1,097.31 and 500.09

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Solution

The fourth proportional to 795.05, 1,097.31 and 500.09 is: 690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.05 : 1,097.31 = 500.09 : x
  2. Step 2: Convert to fraction form
    795.05/1,097.31 = 500.09/x
  3. Step 3: Cross multiply
    795.05x = 1,097.31 × 500.09
  4. Step 4: Simplify right side
    795.05x = 548,753.76
  5. Step 5: Solve for x
    x = 548,753.76/795.05
  6. Step 6: Final answer
    x = 690.21

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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.