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Finding the Fourth Proportional to 673.74, 1,009.92 and 380.82

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Solution

The fourth proportional to 673.74, 1,009.92 and 380.82 is: 570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.74 : 1,009.92 = 380.82 : x
  2. Step 2: Convert to fraction form
    673.74/1,009.92 = 380.82/x
  3. Step 3: Cross multiply
    673.74x = 1,009.92 × 380.82
  4. Step 4: Simplify right side
    673.74x = 384,597.73
  5. Step 5: Solve for x
    x = 384,597.73/673.74
  6. Step 6: Final answer
    x = 570.84

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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.