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Finding the Fourth Proportional to 1,083.68, 1,495.42 and 664.72

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Solution

The fourth proportional to 1,083.68, 1,495.42 and 664.72 is: 917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.68 : 1,495.42 = 664.72 : x
  2. Step 2: Convert to fraction form
    1,083.68/1,495.42 = 664.72/x
  3. Step 3: Cross multiply
    1,083.68x = 1,495.42 × 664.72
  4. Step 4: Simplify right side
    1,083.68x = 994,035.58
  5. Step 5: Solve for x
    x = 994,035.58/1,083.68
  6. Step 6: Final answer
    x = 917.28

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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.