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Finding the Fourth Proportional to 1,107.11, 1,527.83 and 609.77

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Solution

The fourth proportional to 1,107.11, 1,527.83 and 609.77 is: 841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.11 : 1,527.83 = 609.77 : x
  2. Step 2: Convert to fraction form
    1,107.11/1,527.83 = 609.77/x
  3. Step 3: Cross multiply
    1,107.11x = 1,527.83 × 609.77
  4. Step 4: Simplify right side
    1,107.11x = 931,619.94
  5. Step 5: Solve for x
    x = 931,619.94/1,107.11
  6. Step 6: Final answer
    x = 841.49

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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.