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Finding the Fourth Proportional to 974.69, 1,462.04 and 830.12

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Solution

The fourth proportional to 974.69, 1,462.04 and 830.12 is: 1,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.69 : 1,462.04 = 830.12 : x
  2. Step 2: Convert to fraction form
    974.69/1,462.04 = 830.12/x
  3. Step 3: Cross multiply
    974.69x = 1,462.04 × 830.12
  4. Step 4: Simplify right side
    974.69x = 1,213,668.64
  5. Step 5: Solve for x
    x = 1,213,668.64/974.69
  6. Step 6: Final answer
    x = 1,245.18

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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.