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Finding the Fourth Proportional to 1,765.99, 2,650.23 and 726.93

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Solution

The fourth proportional to 1,765.99, 2,650.23 and 726.93 is: 1,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.99 : 2,650.23 = 726.93 : x
  2. Step 2: Convert to fraction form
    1,765.99/2,650.23 = 726.93/x
  3. Step 3: Cross multiply
    1,765.99x = 2,650.23 × 726.93
  4. Step 4: Simplify right side
    1,765.99x = 1,926,531.69
  5. Step 5: Solve for x
    x = 1,926,531.69/1,765.99
  6. Step 6: Final answer
    x = 1,090.91

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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.