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Finding the Fourth Proportional to 1,160.46, 1,738.77 and 852.44

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Solution

The fourth proportional to 1,160.46, 1,738.77 and 852.44 is: 1,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.46 : 1,738.77 = 852.44 : x
  2. Step 2: Convert to fraction form
    1,160.46/1,738.77 = 852.44/x
  3. Step 3: Cross multiply
    1,160.46x = 1,738.77 × 852.44
  4. Step 4: Simplify right side
    1,160.46x = 1,482,188.40
  5. Step 5: Solve for x
    x = 1,482,188.40/1,160.46
  6. Step 6: Final answer
    x = 1,277.24

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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.