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Finding the Fourth Proportional to 869.99, 1,200.42 and 590.81

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Solution

The fourth proportional to 869.99, 1,200.42 and 590.81 is: 815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.99 : 1,200.42 = 590.81 : x
  2. Step 2: Convert to fraction form
    869.99/1,200.42 = 590.81/x
  3. Step 3: Cross multiply
    869.99x = 1,200.42 × 590.81
  4. Step 4: Simplify right side
    869.99x = 709,214.14
  5. Step 5: Solve for x
    x = 709,214.14/869.99
  6. Step 6: Final answer
    x = 815.20

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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.