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Finding the Fourth Proportional to 1,107.16, 1,660.86 and 522.12

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Solution

The fourth proportional to 1,107.16, 1,660.86 and 522.12 is: 783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.16 : 1,660.86 = 522.12 : x
  2. Step 2: Convert to fraction form
    1,107.16/1,660.86 = 522.12/x
  3. Step 3: Cross multiply
    1,107.16x = 1,660.86 × 522.12
  4. Step 4: Simplify right side
    1,107.16x = 867,168.22
  5. Step 5: Solve for x
    x = 867,168.22/1,107.16
  6. Step 6: Final answer
    x = 783.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.