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Finding the Fourth Proportional to 673.67, 1,010.50 and 211.45

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Solution

The fourth proportional to 673.67, 1,010.50 and 211.45 is: 317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.67 : 1,010.50 = 211.45 : x
  2. Step 2: Convert to fraction form
    673.67/1,010.50 = 211.45/x
  3. Step 3: Cross multiply
    673.67x = 1,010.50 × 211.45
  4. Step 4: Simplify right side
    673.67x = 213,670.23
  5. Step 5: Solve for x
    x = 213,670.23/673.67
  6. Step 6: Final answer
    x = 317.17

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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.