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Finding the Fourth Proportional to 1,423.07, 1,964.10 and 825.95

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Solution

The fourth proportional to 1,423.07, 1,964.10 and 825.95 is: 1,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.07 : 1,964.10 = 825.95 : x
  2. Step 2: Convert to fraction form
    1,423.07/1,964.10 = 825.95/x
  3. Step 3: Cross multiply
    1,423.07x = 1,964.10 × 825.95
  4. Step 4: Simplify right side
    1,423.07x = 1,622,234.44
  5. Step 5: Solve for x
    x = 1,622,234.44/1,423.07
  6. Step 6: Final answer
    x = 1,139.95

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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.