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Finding the Fourth Proportional to 958.17, 1,319.12 and 833.76

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Solution

The fourth proportional to 958.17, 1,319.12 and 833.76 is: 1,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.17 : 1,319.12 = 833.76 : x
  2. Step 2: Convert to fraction form
    958.17/1,319.12 = 833.76/x
  3. Step 3: Cross multiply
    958.17x = 1,319.12 × 833.76
  4. Step 4: Simplify right side
    958.17x = 1,099,825.32
  5. Step 5: Solve for x
    x = 1,099,825.32/958.17
  6. Step 6: Final answer
    x = 1,147.84

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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.