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Finding the Fourth Proportional to 1,427.56, 2,137.56 and 776.32

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Solution

The fourth proportional to 1,427.56, 2,137.56 and 776.32 is: 1,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.56 : 2,137.56 = 776.32 : x
  2. Step 2: Convert to fraction form
    1,427.56/2,137.56 = 776.32/x
  3. Step 3: Cross multiply
    1,427.56x = 2,137.56 × 776.32
  4. Step 4: Simplify right side
    1,427.56x = 1,659,430.58
  5. Step 5: Solve for x
    x = 1,659,430.58/1,427.56
  6. Step 6: Final answer
    x = 1,162.42

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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.