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Finding the Fourth Proportional to 1,415.14, 1,952.82 and 825.64

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Solution

The fourth proportional to 1,415.14, 1,952.82 and 825.64 is: 1,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.14 : 1,952.82 = 825.64 : x
  2. Step 2: Convert to fraction form
    1,415.14/1,952.82 = 825.64/x
  3. Step 3: Cross multiply
    1,415.14x = 1,952.82 × 825.64
  4. Step 4: Simplify right side
    1,415.14x = 1,612,326.30
  5. Step 5: Solve for x
    x = 1,612,326.30/1,415.14
  6. Step 6: Final answer
    x = 1,139.34

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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.