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Finding the Fourth Proportional to 1,101.45, 1,651.86 and 515.85

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Solution

The fourth proportional to 1,101.45, 1,651.86 and 515.85 is: 773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.45 : 1,651.86 = 515.85 : x
  2. Step 2: Convert to fraction form
    1,101.45/1,651.86 = 515.85/x
  3. Step 3: Cross multiply
    1,101.45x = 1,651.86 × 515.85
  4. Step 4: Simplify right side
    1,101.45x = 852,109.40
  5. Step 5: Solve for x
    x = 852,109.40/1,101.45
  6. Step 6: Final answer
    x = 773.63

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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.