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Finding the Fourth Proportional to 795.31, 1,097.31 and 500.97

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Solution

The fourth proportional to 795.31, 1,097.31 and 500.97 is: 691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.31 : 1,097.31 = 500.97 : x
  2. Step 2: Convert to fraction form
    795.31/1,097.31 = 500.97/x
  3. Step 3: Cross multiply
    795.31x = 1,097.31 × 500.97
  4. Step 4: Simplify right side
    795.31x = 549,719.39
  5. Step 5: Solve for x
    x = 549,719.39/795.31
  6. Step 6: Final answer
    x = 691.20

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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.