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Finding the Fourth Proportional to 1,170.99, 1,752.10 and 726.37

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Solution

The fourth proportional to 1,170.99, 1,752.10 and 726.37 is: 1,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.99 : 1,752.10 = 726.37 : x
  2. Step 2: Convert to fraction form
    1,170.99/1,752.10 = 726.37/x
  3. Step 3: Cross multiply
    1,170.99x = 1,752.10 × 726.37
  4. Step 4: Simplify right side
    1,170.99x = 1,272,666.68
  5. Step 5: Solve for x
    x = 1,272,666.68/1,170.99
  6. Step 6: Final answer
    x = 1,086.83

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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.