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Finding the Fourth Proportional to 869.37, 1,199.94 and 590.07

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Solution

The fourth proportional to 869.37, 1,199.94 and 590.07 is: 814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.37 : 1,199.94 = 590.07 : x
  2. Step 2: Convert to fraction form
    869.37/1,199.94 = 590.07/x
  3. Step 3: Cross multiply
    869.37x = 1,199.94 × 590.07
  4. Step 4: Simplify right side
    869.37x = 708,048.60
  5. Step 5: Solve for x
    x = 708,048.60/869.37
  6. Step 6: Final answer
    x = 814.44

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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.