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Finding the Fourth Proportional to 805.55, 1,111.73 and 648.81

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Solution

The fourth proportional to 805.55, 1,111.73 and 648.81 is: 895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.55 : 1,111.73 = 648.81 : x
  2. Step 2: Convert to fraction form
    805.55/1,111.73 = 648.81/x
  3. Step 3: Cross multiply
    805.55x = 1,111.73 × 648.81
  4. Step 4: Simplify right side
    805.55x = 721,298.30
  5. Step 5: Solve for x
    x = 721,298.30/805.55
  6. Step 6: Final answer
    x = 895.42

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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.