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Finding the Fourth Proportional to 947.66, 1,307.41 and 616.37

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Solution

The fourth proportional to 947.66, 1,307.41 and 616.37 is: 850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.66 : 1,307.41 = 616.37 : x
  2. Step 2: Convert to fraction form
    947.66/1,307.41 = 616.37/x
  3. Step 3: Cross multiply
    947.66x = 1,307.41 × 616.37
  4. Step 4: Simplify right side
    947.66x = 805,840.22
  5. Step 5: Solve for x
    x = 805,840.22/947.66
  6. Step 6: Final answer
    x = 850.35

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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.