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Finding the Fourth Proportional to 1,022.10, 1,409.04 and 759.66

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Solution

The fourth proportional to 1,022.10, 1,409.04 and 759.66 is: 1,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.10 : 1,409.04 = 759.66 : x
  2. Step 2: Convert to fraction form
    1,022.10/1,409.04 = 759.66/x
  3. Step 3: Cross multiply
    1,022.10x = 1,409.04 × 759.66
  4. Step 4: Simplify right side
    1,022.10x = 1,070,391.33
  5. Step 5: Solve for x
    x = 1,070,391.33/1,022.10
  6. Step 6: Final answer
    x = 1,047.25

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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.