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Finding the Fourth Proportional to 963.74, 1,444.26 and 719.66

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Solution

The fourth proportional to 963.74, 1,444.26 and 719.66 is: 1,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.74 : 1,444.26 = 719.66 : x
  2. Step 2: Convert to fraction form
    963.74/1,444.26 = 719.66/x
  3. Step 3: Cross multiply
    963.74x = 1,444.26 × 719.66
  4. Step 4: Simplify right side
    963.74x = 1,039,376.15
  5. Step 5: Solve for x
    x = 1,039,376.15/963.74
  6. Step 6: Final answer
    x = 1,078.48

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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.