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Finding the Fourth Proportional to 673.06, 1,009.23 and 261.90

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Solution

The fourth proportional to 673.06, 1,009.23 and 261.90 is: 392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.06 : 1,009.23 = 261.90 : x
  2. Step 2: Convert to fraction form
    673.06/1,009.23 = 261.90/x
  3. Step 3: Cross multiply
    673.06x = 1,009.23 × 261.90
  4. Step 4: Simplify right side
    673.06x = 264,317.34
  5. Step 5: Solve for x
    x = 264,317.34/673.06
  6. Step 6: Final answer
    x = 392.71

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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.