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Finding the Fourth Proportional to 955.94, 1,319.36 and 582.93

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Solution

The fourth proportional to 955.94, 1,319.36 and 582.93 is: 804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.94 : 1,319.36 = 582.93 : x
  2. Step 2: Convert to fraction form
    955.94/1,319.36 = 582.93/x
  3. Step 3: Cross multiply
    955.94x = 1,319.36 × 582.93
  4. Step 4: Simplify right side
    955.94x = 769,091.61
  5. Step 5: Solve for x
    x = 769,091.61/955.94
  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.