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Finding the Fourth Proportional to 947.24, 1,307.57 and 615.95

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Solution

The fourth proportional to 947.24, 1,307.57 and 615.95 is: 850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.24 : 1,307.57 = 615.95 : x
  2. Step 2: Convert to fraction form
    947.24/1,307.57 = 615.95/x
  3. Step 3: Cross multiply
    947.24x = 1,307.57 × 615.95
  4. Step 4: Simplify right side
    947.24x = 805,388.12
  5. Step 5: Solve for x
    x = 805,388.12/947.24
  6. Step 6: Final answer
    x = 850.25

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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.