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Finding the Fourth Proportional to 1,415.11, 1,952.64 and 825.54

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Solution

The fourth proportional to 1,415.11, 1,952.64 and 825.54 is: 1,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.11 : 1,952.64 = 825.54 : x
  2. Step 2: Convert to fraction form
    1,415.11/1,952.64 = 825.54/x
  3. Step 3: Cross multiply
    1,415.11x = 1,952.64 × 825.54
  4. Step 4: Simplify right side
    1,415.11x = 1,611,982.43
  5. Step 5: Solve for x
    x = 1,611,982.43/1,415.11
  6. Step 6: Final answer
    x = 1,139.12

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1.5x scale

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.