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Finding the Fourth Proportional to 956.12, 1,319.86 and 583.22

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Solution

The fourth proportional to 956.12, 1,319.86 and 583.22 is: 805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.12 : 1,319.86 = 583.22 : x
  2. Step 2: Convert to fraction form
    956.12/1,319.86 = 583.22/x
  3. Step 3: Cross multiply
    956.12x = 1,319.86 × 583.22
  4. Step 4: Simplify right side
    956.12x = 769,768.75
  5. Step 5: Solve for x
    x = 769,768.75/956.12
  6. Step 6: Final answer
    x = 805.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.