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Finding the Fourth Proportional to 1,295.35, 1,787.27 and 764.25

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Solution

The fourth proportional to 1,295.35, 1,787.27 and 764.25 is: 1,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.35 : 1,787.27 = 764.25 : x
  2. Step 2: Convert to fraction form
    1,295.35/1,787.27 = 764.25/x
  3. Step 3: Cross multiply
    1,295.35x = 1,787.27 × 764.25
  4. Step 4: Simplify right side
    1,295.35x = 1,365,927.08
  5. Step 5: Solve for x
    x = 1,365,927.08/1,295.35
  6. Step 6: Final answer
    x = 1,054.48

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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.