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Finding the Fourth Proportional to 795.97, 1,098.57 and 501.33

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Solution

The fourth proportional to 795.97, 1,098.57 and 501.33 is: 691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.97 : 1,098.57 = 501.33 : x
  2. Step 2: Convert to fraction form
    795.97/1,098.57 = 501.33/x
  3. Step 3: Cross multiply
    795.97x = 1,098.57 × 501.33
  4. Step 4: Simplify right side
    795.97x = 550,746.10
  5. Step 5: Solve for x
    x = 550,746.10/795.97
  6. Step 6: Final answer
    x = 691.92

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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.