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Finding the Fourth Proportional to 963.33, 1,329.47 and 590.23

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Solution

The fourth proportional to 963.33, 1,329.47 and 590.23 is: 814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.33 : 1,329.47 = 590.23 : x
  2. Step 2: Convert to fraction form
    963.33/1,329.47 = 590.23/x
  3. Step 3: Cross multiply
    963.33x = 1,329.47 × 590.23
  4. Step 4: Simplify right side
    963.33x = 784,693.08
  5. Step 5: Solve for x
    x = 784,693.08/963.33
  6. Step 6: Final answer
    x = 814.56

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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.