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Finding the Fourth Proportional to 956.27, 1,319.64 and 583.31

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Solution

The fourth proportional to 956.27, 1,319.64 and 583.31 is: 804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.27 : 1,319.64 = 583.31 : x
  2. Step 2: Convert to fraction form
    956.27/1,319.64 = 583.31/x
  3. Step 3: Cross multiply
    956.27x = 1,319.64 × 583.31
  4. Step 4: Simplify right side
    956.27x = 769,759.21
  5. Step 5: Solve for x
    x = 769,759.21/956.27
  6. Step 6: Final answer
    x = 804.96

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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.