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Finding the Fourth Proportional to 1,415.14, 1,952.45 and 825.25

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Solution

The fourth proportional to 1,415.14, 1,952.45 and 825.25 is: 1,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.14 : 1,952.45 = 825.25 : x
  2. Step 2: Convert to fraction form
    1,415.14/1,952.45 = 825.25/x
  3. Step 3: Cross multiply
    1,415.14x = 1,952.45 × 825.25
  4. Step 4: Simplify right side
    1,415.14x = 1,611,259.36
  5. Step 5: Solve for x
    x = 1,611,259.36/1,415.14
  6. Step 6: Final answer
    x = 1,138.59

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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.