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Finding the Fourth Proportional to 1,786.07, 2,679.53 and 745.49

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Solution

The fourth proportional to 1,786.07, 2,679.53 and 745.49 is: 1,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.07 : 2,679.53 = 745.49 : x
  2. Step 2: Convert to fraction form
    1,786.07/2,679.53 = 745.49/x
  3. Step 3: Cross multiply
    1,786.07x = 2,679.53 × 745.49
  4. Step 4: Simplify right side
    1,786.07x = 1,997,565.79
  5. Step 5: Solve for x
    x = 1,997,565.79/1,786.07
  6. Step 6: Final answer
    x = 1,118.41

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1.5x scale

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.