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Finding the Fourth Proportional to 796.09, 1,098.72 and 501.43

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Solution

The fourth proportional to 796.09, 1,098.72 and 501.43 is: 692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.09 : 1,098.72 = 501.43 : x
  2. Step 2: Convert to fraction form
    796.09/1,098.72 = 501.43/x
  3. Step 3: Cross multiply
    796.09x = 1,098.72 × 501.43
  4. Step 4: Simplify right side
    796.09x = 550,931.17
  5. Step 5: Solve for x
    x = 550,931.17/796.09
  6. Step 6: Final answer
    x = 692.05

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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.