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Finding the Fourth Proportional to 1,223.81, 1,689.00 and 825.29

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Solution

The fourth proportional to 1,223.81, 1,689.00 and 825.29 is: 1,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.81 : 1,689.00 = 825.29 : x
  2. Step 2: Convert to fraction form
    1,223.81/1,689.00 = 825.29/x
  3. Step 3: Cross multiply
    1,223.81x = 1,689.00 × 825.29
  4. Step 4: Simplify right side
    1,223.81x = 1,393,914.25
  5. Step 5: Solve for x
    x = 1,393,914.25/1,223.81
  6. Step 6: Final answer
    x = 1,139.00

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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.