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Finding the Fourth Proportional to 795.90, 1,098.15 and 501.22

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Solution

The fourth proportional to 795.90, 1,098.15 and 501.22 is: 691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.90 : 1,098.15 = 501.22 : x
  2. Step 2: Convert to fraction form
    795.90/1,098.15 = 501.22/x
  3. Step 3: Cross multiply
    795.90x = 1,098.15 × 501.22
  4. Step 4: Simplify right side
    795.90x = 550,414.74
  5. Step 5: Solve for x
    x = 550,414.74/795.90
  6. Step 6: Final answer
    x = 691.56

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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.