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Finding the Fourth Proportional to 1,107.73, 1,528.64 and 603.58

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Solution

The fourth proportional to 1,107.73, 1,528.64 and 603.58 is: 832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.73 : 1,528.64 = 603.58 : x
  2. Step 2: Convert to fraction form
    1,107.73/1,528.64 = 603.58/x
  3. Step 3: Cross multiply
    1,107.73x = 1,528.64 × 603.58
  4. Step 4: Simplify right side
    1,107.73x = 922,665.33
  5. Step 5: Solve for x
    x = 922,665.33/1,107.73
  6. Step 6: Final answer
    x = 832.94

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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.