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Finding the Fourth Proportional to 1,022.15, 1,410.79 and 649.64

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Solution

The fourth proportional to 1,022.15, 1,410.79 and 649.64 is: 896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.15 : 1,410.79 = 649.64 : x
  2. Step 2: Convert to fraction form
    1,022.15/1,410.79 = 649.64/x
  3. Step 3: Cross multiply
    1,022.15x = 1,410.79 × 649.64
  4. Step 4: Simplify right side
    1,022.15x = 916,505.62
  5. Step 5: Solve for x
    x = 916,505.62/1,022.15
  6. Step 6: Final answer
    x = 896.64

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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.