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Finding the Fourth Proportional to 1,392.56, 1,921.56 and 771.44

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Solution

The fourth proportional to 1,392.56, 1,921.56 and 771.44 is: 1,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.56 : 1,921.56 = 771.44 : x
  2. Step 2: Convert to fraction form
    1,392.56/1,921.56 = 771.44/x
  3. Step 3: Cross multiply
    1,392.56x = 1,921.56 × 771.44
  4. Step 4: Simplify right side
    1,392.56x = 1,482,368.25
  5. Step 5: Solve for x
    x = 1,482,368.25/1,392.56
  6. Step 6: Final answer
    x = 1,064.49

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