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Finding the Fourth Proportional to 974.73, 1,462.83 and 715.42

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Solution

The fourth proportional to 974.73, 1,462.83 and 715.42 is: 1,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.73 : 1,462.83 = 715.42 : x
  2. Step 2: Convert to fraction form
    974.73/1,462.83 = 715.42/x
  3. Step 3: Cross multiply
    974.73x = 1,462.83 × 715.42
  4. Step 4: Simplify right side
    974.73x = 1,046,537.84
  5. Step 5: Solve for x
    x = 1,046,537.84/974.73
  6. Step 6: Final answer
    x = 1,073.67

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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.