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Finding the Fourth Proportional to 1,107.59, 1,527.59 and 1,033.07

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Solution

The fourth proportional to 1,107.59, 1,527.59 and 1,033.07 is: 1,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.59 : 1,527.59 = 1,033.07 : x
  2. Step 2: Convert to fraction form
    1,107.59/1,527.59 = 1,033.07/x
  3. Step 3: Cross multiply
    1,107.59x = 1,527.59 × 1,033.07
  4. Step 4: Simplify right side
    1,107.59x = 1,578,102.35
  5. Step 5: Solve for x
    x = 1,578,102.35/1,107.59
  6. Step 6: Final answer
    x = 1,424.81

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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.