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Finding the Fourth Proportional to 673.20, 1,009.62 and 186.14

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Solution

The fourth proportional to 673.20, 1,009.62 and 186.14 is: 279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.20 : 1,009.62 = 186.14 : x
  2. Step 2: Convert to fraction form
    673.20/1,009.62 = 186.14/x
  3. Step 3: Cross multiply
    673.20x = 1,009.62 × 186.14
  4. Step 4: Simplify right side
    673.20x = 187,933.19
  5. Step 5: Solve for x
    x = 187,933.19/673.20
  6. Step 6: Final answer
    x = 279.16

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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.