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Finding the Fourth Proportional to 1,092.07, 1,506.87 and 650.11

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Solution

The fourth proportional to 1,092.07, 1,506.87 and 650.11 is: 897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.07 : 1,506.87 = 650.11 : x
  2. Step 2: Convert to fraction form
    1,092.07/1,506.87 = 650.11/x
  3. Step 3: Cross multiply
    1,092.07x = 1,506.87 × 650.11
  4. Step 4: Simplify right side
    1,092.07x = 979,631.26
  5. Step 5: Solve for x
    x = 979,631.26/1,092.07
  6. Step 6: Final answer
    x = 897.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.