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Finding the Fourth Proportional to 1,777.59, 2,668.16 and 738.20

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Solution

The fourth proportional to 1,777.59, 2,668.16 and 738.20 is: 1,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.59 : 2,668.16 = 738.20 : x
  2. Step 2: Convert to fraction form
    1,777.59/2,668.16 = 738.20/x
  3. Step 3: Cross multiply
    1,777.59x = 2,668.16 × 738.20
  4. Step 4: Simplify right side
    1,777.59x = 1,969,618.68
  5. Step 5: Solve for x
    x = 1,969,618.68/1,777.59
  6. Step 6: Final answer
    x = 1,108.03

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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.