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Finding the Fourth Proportional to 716.16, 1,073.84 and 485.04

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Solution

The fourth proportional to 716.16, 1,073.84 and 485.04 is: 727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.16 : 1,073.84 = 485.04 : x
  2. Step 2: Convert to fraction form
    716.16/1,073.84 = 485.04/x
  3. Step 3: Cross multiply
    716.16x = 1,073.84 × 485.04
  4. Step 4: Simplify right side
    716.16x = 520,855.35
  5. Step 5: Solve for x
    x = 520,855.35/716.16
  6. Step 6: Final answer
    x = 727.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.