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Finding the Fourth Proportional to 1,319.44, 1,978.54 and 771.78

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Solution

The fourth proportional to 1,319.44, 1,978.54 and 771.78 is: 1,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.44 : 1,978.54 = 771.78 : x
  2. Step 2: Convert to fraction form
    1,319.44/1,978.54 = 771.78/x
  3. Step 3: Cross multiply
    1,319.44x = 1,978.54 × 771.78
  4. Step 4: Simplify right side
    1,319.44x = 1,526,997.60
  5. Step 5: Solve for x
    x = 1,526,997.60/1,319.44
  6. Step 6: Final answer
    x = 1,157.31

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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.