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Finding the Fourth Proportional to 947.24, 1,307.12 and 616.30

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Solution

The fourth proportional to 947.24, 1,307.12 and 616.30 is: 850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.24 : 1,307.12 = 616.30 : x
  2. Step 2: Convert to fraction form
    947.24/1,307.12 = 616.30/x
  3. Step 3: Cross multiply
    947.24x = 1,307.12 × 616.30
  4. Step 4: Simplify right side
    947.24x = 805,578.06
  5. Step 5: Solve for x
    x = 805,578.06/947.24
  6. Step 6: Final answer
    x = 850.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.