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Finding the Fourth Proportional to 958.18, 1,438.28 and 849.19

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Solution

The fourth proportional to 958.18, 1,438.28 and 849.19 is: 1,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.18 : 1,438.28 = 849.19 : x
  2. Step 2: Convert to fraction form
    958.18/1,438.28 = 849.19/x
  3. Step 3: Cross multiply
    958.18x = 1,438.28 × 849.19
  4. Step 4: Simplify right side
    958.18x = 1,221,368.75
  5. Step 5: Solve for x
    x = 1,221,368.75/958.18
  6. Step 6: Final answer
    x = 1,274.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.