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Finding the Fourth Proportional to 1,189.86, 1,784.07 and 677.22

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Solution

The fourth proportional to 1,189.86, 1,784.07 and 677.22 is: 1,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.86 : 1,784.07 = 677.22 : x
  2. Step 2: Convert to fraction form
    1,189.86/1,784.07 = 677.22/x
  3. Step 3: Cross multiply
    1,189.86x = 1,784.07 × 677.22
  4. Step 4: Simplify right side
    1,189.86x = 1,208,207.89
  5. Step 5: Solve for x
    x = 1,208,207.89/1,189.86
  6. Step 6: Final answer
    x = 1,015.42

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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.