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Finding the Fourth Proportional to 1,092.58, 1,507.62 and 650.32

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Solution

The fourth proportional to 1,092.58, 1,507.62 and 650.32 is: 897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.58 : 1,507.62 = 650.32 : x
  2. Step 2: Convert to fraction form
    1,092.58/1,507.62 = 650.32/x
  3. Step 3: Cross multiply
    1,092.58x = 1,507.62 × 650.32
  4. Step 4: Simplify right side
    1,092.58x = 980,435.44
  5. Step 5: Solve for x
    x = 980,435.44/1,092.58
  6. Step 6: Final answer
    x = 897.36

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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.