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Finding the Fourth Proportional to 1,022.09, 1,409.99 and 628.43

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Solution

The fourth proportional to 1,022.09, 1,409.99 and 628.43 is: 866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.09 : 1,409.99 = 628.43 : x
  2. Step 2: Convert to fraction form
    1,022.09/1,409.99 = 628.43/x
  3. Step 3: Cross multiply
    1,022.09x = 1,409.99 × 628.43
  4. Step 4: Simplify right side
    1,022.09x = 886,069.82
  5. Step 5: Solve for x
    x = 886,069.82/1,022.09
  6. Step 6: Final answer
    x = 866.92

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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.