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Finding the Fourth Proportional to 947.03, 1,306.81 and 698.49

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Solution

The fourth proportional to 947.03, 1,306.81 and 698.49 is: 963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.03 : 1,306.81 = 698.49 : x
  2. Step 2: Convert to fraction form
    947.03/1,306.81 = 698.49/x
  3. Step 3: Cross multiply
    947.03x = 1,306.81 × 698.49
  4. Step 4: Simplify right side
    947.03x = 912,783.69
  5. Step 5: Solve for x
    x = 912,783.69/947.03
  6. Step 6: Final answer
    x = 963.84

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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.