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Finding the Fourth Proportional to 673.06, 1,009.60 and 210.82

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Solution

The fourth proportional to 673.06, 1,009.60 and 210.82 is: 316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.06 : 1,009.60 = 210.82 : x
  2. Step 2: Convert to fraction form
    673.06/1,009.60 = 210.82/x
  3. Step 3: Cross multiply
    673.06x = 1,009.60 × 210.82
  4. Step 4: Simplify right side
    673.06x = 212,843.87
  5. Step 5: Solve for x
    x = 212,843.87/673.06
  6. Step 6: Final answer
    x = 316.23

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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.