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Finding the Fourth Proportional to 947.90, 1,307.37 and 616.44

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Solution

The fourth proportional to 947.90, 1,307.37 and 616.44 is: 850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.90 : 1,307.37 = 616.44 : x
  2. Step 2: Convert to fraction form
    947.90/1,307.37 = 616.44/x
  3. Step 3: Cross multiply
    947.90x = 1,307.37 × 616.44
  4. Step 4: Simplify right side
    947.90x = 805,915.16
  5. Step 5: Solve for x
    x = 805,915.16/947.90
  6. Step 6: Final answer
    x = 850.21

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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.