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Finding the Fourth Proportional to 884.99, 1,221.63 and 590.15

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Solution

The fourth proportional to 884.99, 1,221.63 and 590.15 is: 814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.99 : 1,221.63 = 590.15 : x
  2. Step 2: Convert to fraction form
    884.99/1,221.63 = 590.15/x
  3. Step 3: Cross multiply
    884.99x = 1,221.63 × 590.15
  4. Step 4: Simplify right side
    884.99x = 720,944.94
  5. Step 5: Solve for x
    x = 720,944.94/884.99
  6. Step 6: Final answer
    x = 814.64

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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.