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Finding the Fourth Proportional to 1,092.60, 1,507.64 and 650.42

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Solution

The fourth proportional to 1,092.60, 1,507.64 and 650.42 is: 897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.60 : 1,507.64 = 650.42 : x
  2. Step 2: Convert to fraction form
    1,092.60/1,507.64 = 650.42/x
  3. Step 3: Cross multiply
    1,092.60x = 1,507.64 × 650.42
  4. Step 4: Simplify right side
    1,092.60x = 980,599.21
  5. Step 5: Solve for x
    x = 980,599.21/1,092.60
  6. Step 6: Final answer
    x = 897.49

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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.