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Finding the Fourth Proportional to 1,780.83, 2,670.22 and 739.96

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Solution

The fourth proportional to 1,780.83, 2,670.22 and 739.96 is: 1,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.83 : 2,670.22 = 739.96 : x
  2. Step 2: Convert to fraction form
    1,780.83/2,670.22 = 739.96/x
  3. Step 3: Cross multiply
    1,780.83x = 2,670.22 × 739.96
  4. Step 4: Simplify right side
    1,780.83x = 1,975,855.99
  5. Step 5: Solve for x
    x = 1,975,855.99/1,780.83
  6. Step 6: Final answer
    x = 1,109.51

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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.