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Finding the Fourth Proportional to 1,150.55, 1,726.33 and 892.79

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Solution

The fourth proportional to 1,150.55, 1,726.33 and 892.79 is: 1,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.55 : 1,726.33 = 892.79 : x
  2. Step 2: Convert to fraction form
    1,150.55/1,726.33 = 892.79/x
  3. Step 3: Cross multiply
    1,150.55x = 1,726.33 × 892.79
  4. Step 4: Simplify right side
    1,150.55x = 1,541,237.07
  5. Step 5: Solve for x
    x = 1,541,237.07/1,150.55
  6. Step 6: Final answer
    x = 1,339.57

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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.