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Finding the Fourth Proportional to 963.19, 1,329.24 and 590.05

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Solution

The fourth proportional to 963.19, 1,329.24 and 590.05 is: 814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.19 : 1,329.24 = 590.05 : x
  2. Step 2: Convert to fraction form
    963.19/1,329.24 = 590.05/x
  3. Step 3: Cross multiply
    963.19x = 1,329.24 × 590.05
  4. Step 4: Simplify right side
    963.19x = 784,318.06
  5. Step 5: Solve for x
    x = 784,318.06/963.19
  6. Step 6: Final answer
    x = 814.29

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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.