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Finding the Fourth Proportional to 956.14, 1,319.40 and 583.19

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Solution

The fourth proportional to 956.14, 1,319.40 and 583.19 is: 804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.14 : 1,319.40 = 583.19 : x
  2. Step 2: Convert to fraction form
    956.14/1,319.40 = 583.19/x
  3. Step 3: Cross multiply
    956.14x = 1,319.40 × 583.19
  4. Step 4: Simplify right side
    956.14x = 769,460.89
  5. Step 5: Solve for x
    x = 769,460.89/956.14
  6. Step 6: Final answer
    x = 804.76

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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.