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Finding the Fourth Proportional to 979.63, 1,462.27 and 850.53

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Solution

The fourth proportional to 979.63, 1,462.27 and 850.53 is: 1,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.63 : 1,462.27 = 850.53 : x
  2. Step 2: Convert to fraction form
    979.63/1,462.27 = 850.53/x
  3. Step 3: Cross multiply
    979.63x = 1,462.27 × 850.53
  4. Step 4: Simplify right side
    979.63x = 1,243,709.46
  5. Step 5: Solve for x
    x = 1,243,709.46/979.63
  6. Step 6: Final answer
    x = 1,269.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.