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Finding the Fourth Proportional to 677.01, 1,015.33 and 190.09

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Solution

The fourth proportional to 677.01, 1,015.33 and 190.09 is: 285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.01 : 1,015.33 = 190.09 : x
  2. Step 2: Convert to fraction form
    677.01/1,015.33 = 190.09/x
  3. Step 3: Cross multiply
    677.01x = 1,015.33 × 190.09
  4. Step 4: Simplify right side
    677.01x = 193,004.08
  5. Step 5: Solve for x
    x = 193,004.08/677.01
  6. Step 6: Final answer
    x = 285.08

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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.