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Finding the Fourth Proportional to 1,111.49, 1,665.19 and 648.44

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Solution

The fourth proportional to 1,111.49, 1,665.19 and 648.44 is: 971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.49 : 1,665.19 = 648.44 : x
  2. Step 2: Convert to fraction form
    1,111.49/1,665.19 = 648.44/x
  3. Step 3: Cross multiply
    1,111.49x = 1,665.19 × 648.44
  4. Step 4: Simplify right side
    1,111.49x = 1,079,774.53
  5. Step 5: Solve for x
    x = 1,079,774.53/1,111.49
  6. Step 6: Final answer
    x = 971.47

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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.