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Finding the Fourth Proportional to 955.64, 1,319.10 and 582.86

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Solution

The fourth proportional to 955.64, 1,319.10 and 582.86 is: 804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.64 : 1,319.10 = 582.86 : x
  2. Step 2: Convert to fraction form
    955.64/1,319.10 = 582.86/x
  3. Step 3: Cross multiply
    955.64x = 1,319.10 × 582.86
  4. Step 4: Simplify right side
    955.64x = 768,850.63
  5. Step 5: Solve for x
    x = 768,850.63/955.64
  6. Step 6: Final answer
    x = 804.54

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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.