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Finding the Fourth Proportional to 963.90, 1,444.97 and 347.46

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Solution

The fourth proportional to 963.90, 1,444.97 and 347.46 is: 520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.90 : 1,444.97 = 347.46 : x
  2. Step 2: Convert to fraction form
    963.90/1,444.97 = 347.46/x
  3. Step 3: Cross multiply
    963.90x = 1,444.97 × 347.46
  4. Step 4: Simplify right side
    963.90x = 502,076.92
  5. Step 5: Solve for x
    x = 502,076.92/963.90
  6. Step 6: Final answer
    x = 520.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.