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Finding the Fourth Proportional to 1,022.08, 1,409.41 and 723.19

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Solution

The fourth proportional to 1,022.08, 1,409.41 and 723.19 is: 997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.08 : 1,409.41 = 723.19 : x
  2. Step 2: Convert to fraction form
    1,022.08/1,409.41 = 723.19/x
  3. Step 3: Cross multiply
    1,022.08x = 1,409.41 × 723.19
  4. Step 4: Simplify right side
    1,022.08x = 1,019,265.24
  5. Step 5: Solve for x
    x = 1,019,265.24/1,022.08
  6. Step 6: Final answer
    x = 997.25

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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.