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Finding the Fourth Proportional to 1,106.56, 1,526.96 and 640.72

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Solution

The fourth proportional to 1,106.56, 1,526.96 and 640.72 is: 884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.56 : 1,526.96 = 640.72 : x
  2. Step 2: Convert to fraction form
    1,106.56/1,526.96 = 640.72/x
  3. Step 3: Cross multiply
    1,106.56x = 1,526.96 × 640.72
  4. Step 4: Simplify right side
    1,106.56x = 978,353.81
  5. Step 5: Solve for x
    x = 978,353.81/1,106.56
  6. Step 6: Final answer
    x = 884.14

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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.