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Finding the Fourth Proportional to 781.40, 1,172.63 and 416.44

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Solution

The fourth proportional to 781.40, 1,172.63 and 416.44 is: 624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.40 : 1,172.63 = 416.44 : x
  2. Step 2: Convert to fraction form
    781.40/1,172.63 = 416.44/x
  3. Step 3: Cross multiply
    781.40x = 1,172.63 × 416.44
  4. Step 4: Simplify right side
    781.40x = 488,330.20
  5. Step 5: Solve for x
    x = 488,330.20/781.40
  6. Step 6: Final answer
    x = 624.95

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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.