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Finding the Fourth Proportional to 947.37, 1,306.74 and 616.23

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Solution

The fourth proportional to 947.37, 1,306.74 and 616.23 is: 849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.37 : 1,306.74 = 616.23 : x
  2. Step 2: Convert to fraction form
    947.37/1,306.74 = 616.23/x
  3. Step 3: Cross multiply
    947.37x = 1,306.74 × 616.23
  4. Step 4: Simplify right side
    947.37x = 805,252.39
  5. Step 5: Solve for x
    x = 805,252.39/947.37
  6. Step 6: Final answer
    x = 849.99

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Double scale
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1.5x scale

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.