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Finding the Fourth Proportional to 947.14, 1,306.73 and 616.02

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Solution

The fourth proportional to 947.14, 1,306.73 and 616.02 is: 849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.14 : 1,306.73 = 616.02 : x
  2. Step 2: Convert to fraction form
    947.14/1,306.73 = 616.02/x
  3. Step 3: Cross multiply
    947.14x = 1,306.73 × 616.02
  4. Step 4: Simplify right side
    947.14x = 804,971.81
  5. Step 5: Solve for x
    x = 804,971.81/947.14
  6. Step 6: Final answer
    x = 849.90

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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.