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Finding the Fourth Proportional to 673.43, 1,010.16 and 380.75

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Solution

The fourth proportional to 673.43, 1,010.16 and 380.75 is: 571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.43 : 1,010.16 = 380.75 : x
  2. Step 2: Convert to fraction form
    673.43/1,010.16 = 380.75/x
  3. Step 3: Cross multiply
    673.43x = 1,010.16 × 380.75
  4. Step 4: Simplify right side
    673.43x = 384,613.37
  5. Step 5: Solve for x
    x = 384,613.37/673.43
  6. Step 6: Final answer
    x = 571.13

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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.