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Finding the Fourth Proportional to 1,388.51, 2,083.69 and 764.07

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Solution

The fourth proportional to 1,388.51, 2,083.69 and 764.07 is: 1,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.51 : 2,083.69 = 764.07 : x
  2. Step 2: Convert to fraction form
    1,388.51/2,083.69 = 764.07/x
  3. Step 3: Cross multiply
    1,388.51x = 2,083.69 × 764.07
  4. Step 4: Simplify right side
    1,388.51x = 1,592,078.16
  5. Step 5: Solve for x
    x = 1,592,078.16/1,388.51
  6. Step 6: Final answer
    x = 1,146.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.