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Finding the Fourth Proportional to 963.35, 1,328.79 and 590.19

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Solution

The fourth proportional to 963.35, 1,328.79 and 590.19 is: 814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.35 : 1,328.79 = 590.19 : x
  2. Step 2: Convert to fraction form
    963.35/1,328.79 = 590.19/x
  3. Step 3: Cross multiply
    963.35x = 1,328.79 × 590.19
  4. Step 4: Simplify right side
    963.35x = 784,228.98
  5. Step 5: Solve for x
    x = 784,228.98/963.35
  6. Step 6: Final answer
    x = 814.07

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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.