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Finding the Fourth Proportional to 1,071.63, 1,481.22 and 778.95

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Solution

The fourth proportional to 1,071.63, 1,481.22 and 778.95 is: 1,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.63 : 1,481.22 = 778.95 : x
  2. Step 2: Convert to fraction form
    1,071.63/1,481.22 = 778.95/x
  3. Step 3: Cross multiply
    1,071.63x = 1,481.22 × 778.95
  4. Step 4: Simplify right side
    1,071.63x = 1,153,796.32
  5. Step 5: Solve for x
    x = 1,153,796.32/1,071.63
  6. Step 6: Final answer
    x = 1,076.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.