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Finding the Fourth Proportional to 963.19, 1,324.96 and 784.59

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Solution

The fourth proportional to 963.19, 1,324.96 and 784.59 is: 1,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.19 : 1,324.96 = 784.59 : x
  2. Step 2: Convert to fraction form
    963.19/1,324.96 = 784.59/x
  3. Step 3: Cross multiply
    963.19x = 1,324.96 × 784.59
  4. Step 4: Simplify right side
    963.19x = 1,039,543.44
  5. Step 5: Solve for x
    x = 1,039,543.44/963.19
  6. Step 6: Final answer
    x = 1,079.27

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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.