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Finding the Fourth Proportional to 963.59, 1,444.77 and 531.05

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Solution

The fourth proportional to 963.59, 1,444.77 and 531.05 is: 796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.59 : 1,444.77 = 531.05 : x
  2. Step 2: Convert to fraction form
    963.59/1,444.77 = 531.05/x
  3. Step 3: Cross multiply
    963.59x = 1,444.77 × 531.05
  4. Step 4: Simplify right side
    963.59x = 767,237.88
  5. Step 5: Solve for x
    x = 767,237.88/963.59
  6. Step 6: Final answer
    x = 796.23

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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.