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Finding the Fourth Proportional to 1,415.37, 1,953.06 and 825.80

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Solution

The fourth proportional to 1,415.37, 1,953.06 and 825.80 is: 1,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.37 : 1,953.06 = 825.80 : x
  2. Step 2: Convert to fraction form
    1,415.37/1,953.06 = 825.80/x
  3. Step 3: Cross multiply
    1,415.37x = 1,953.06 × 825.80
  4. Step 4: Simplify right side
    1,415.37x = 1,612,828.73
  5. Step 5: Solve for x
    x = 1,612,828.73/1,415.37
  6. Step 6: Final answer
    x = 1,139.51

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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.