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Finding the Fourth Proportional to 1,482.82, 2,223.71 and 825.70

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Solution

The fourth proportional to 1,482.82, 2,223.71 and 825.70 is: 1,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.82 : 2,223.71 = 825.70 : x
  2. Step 2: Convert to fraction form
    1,482.82/2,223.71 = 825.70/x
  3. Step 3: Cross multiply
    1,482.82x = 2,223.71 × 825.70
  4. Step 4: Simplify right side
    1,482.82x = 1,836,113.85
  5. Step 5: Solve for x
    x = 1,836,113.85/1,482.82
  6. Step 6: Final answer
    x = 1,238.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.