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Finding the Fourth Proportional to 963.54, 1,447.70 and 617.03

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Solution

The fourth proportional to 963.54, 1,447.70 and 617.03 is: 927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.54 : 1,447.70 = 617.03 : x
  2. Step 2: Convert to fraction form
    963.54/1,447.70 = 617.03/x
  3. Step 3: Cross multiply
    963.54x = 1,447.70 × 617.03
  4. Step 4: Simplify right side
    963.54x = 893,264.01
  5. Step 5: Solve for x
    x = 893,264.01/963.54
  6. Step 6: Final answer
    x = 927.06

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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.