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Finding the Fourth Proportional to 1,083.78, 1,487.16 and 1,064.34

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Solution

The fourth proportional to 1,083.78, 1,487.16 and 1,064.34 is: 1,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.78 : 1,487.16 = 1,064.34 : x
  2. Step 2: Convert to fraction form
    1,083.78/1,487.16 = 1,064.34/x
  3. Step 3: Cross multiply
    1,083.78x = 1,487.16 × 1,064.34
  4. Step 4: Simplify right side
    1,083.78x = 1,582,843.87
  5. Step 5: Solve for x
    x = 1,582,843.87/1,083.78
  6. Step 6: Final answer
    x = 1,460.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.