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Finding the Fourth Proportional to 1,107.56, 1,662.60 and 560.36

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Solution

The fourth proportional to 1,107.56, 1,662.60 and 560.36 is: 841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.56 : 1,662.60 = 560.36 : x
  2. Step 2: Convert to fraction form
    1,107.56/1,662.60 = 560.36/x
  3. Step 3: Cross multiply
    1,107.56x = 1,662.60 × 560.36
  4. Step 4: Simplify right side
    1,107.56x = 931,654.54
  5. Step 5: Solve for x
    x = 931,654.54/1,107.56
  6. Step 6: Final answer
    x = 841.18

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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.