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Finding the Fourth Proportional to 1,091.72, 1,506.60 and 649.70

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Solution

The fourth proportional to 1,091.72, 1,506.60 and 649.70 is: 896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.72 : 1,506.60 = 649.70 : x
  2. Step 2: Convert to fraction form
    1,091.72/1,506.60 = 649.70/x
  3. Step 3: Cross multiply
    1,091.72x = 1,506.60 × 649.70
  4. Step 4: Simplify right side
    1,091.72x = 978,838.02
  5. Step 5: Solve for x
    x = 978,838.02/1,091.72
  6. Step 6: Final answer
    x = 896.60

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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.