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Finding the Fourth Proportional to 1,022.04, 1,409.84 and 667.52

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Solution

The fourth proportional to 1,022.04, 1,409.84 and 667.52 is: 920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.04 : 1,409.84 = 667.52 : x
  2. Step 2: Convert to fraction form
    1,022.04/1,409.84 = 667.52/x
  3. Step 3: Cross multiply
    1,022.04x = 1,409.84 × 667.52
  4. Step 4: Simplify right side
    1,022.04x = 941,086.01
  5. Step 5: Solve for x
    x = 941,086.01/1,022.04
  6. Step 6: Final answer
    x = 920.79

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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.