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Finding the Fourth Proportional to 796.08, 1,098.72 and 501.60

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Solution

The fourth proportional to 796.08, 1,098.72 and 501.60 is: 692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.08 : 1,098.72 = 501.60 : x
  2. Step 2: Convert to fraction form
    796.08/1,098.72 = 501.60/x
  3. Step 3: Cross multiply
    796.08x = 1,098.72 × 501.60
  4. Step 4: Simplify right side
    796.08x = 551,117.95
  5. Step 5: Solve for x
    x = 551,117.95/796.08
  6. Step 6: Final answer
    x = 692.29

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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.