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Finding the Fourth Proportional to 1,193.61, 1,646.52 and 773.37

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Solution

The fourth proportional to 1,193.61, 1,646.52 and 773.37 is: 1,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.61 : 1,646.52 = 773.37 : x
  2. Step 2: Convert to fraction form
    1,193.61/1,646.52 = 773.37/x
  3. Step 3: Cross multiply
    1,193.61x = 1,646.52 × 773.37
  4. Step 4: Simplify right side
    1,193.61x = 1,273,369.17
  5. Step 5: Solve for x
    x = 1,273,369.17/1,193.61
  6. Step 6: Final answer
    x = 1,066.82

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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.