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Finding the Fourth Proportional to 955.99, 1,319.24 and 582.84

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Solution

The fourth proportional to 955.99, 1,319.24 and 582.84 is: 804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.99 : 1,319.24 = 582.84 : x
  2. Step 2: Convert to fraction form
    955.99/1,319.24 = 582.84/x
  3. Step 3: Cross multiply
    955.99x = 1,319.24 × 582.84
  4. Step 4: Simplify right side
    955.99x = 768,897.79
  5. Step 5: Solve for x
    x = 768,897.79/955.99
  6. Step 6: Final answer
    x = 804.29

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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.