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Finding the Fourth Proportional to 1,326.16, 1,992.78 and 710.32

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Solution

The fourth proportional to 1,326.16, 1,992.78 and 710.32 is: 1,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.16 : 1,992.78 = 710.32 : x
  2. Step 2: Convert to fraction form
    1,326.16/1,992.78 = 710.32/x
  3. Step 3: Cross multiply
    1,326.16x = 1,992.78 × 710.32
  4. Step 4: Simplify right side
    1,326.16x = 1,415,511.49
  5. Step 5: Solve for x
    x = 1,415,511.49/1,326.16
  6. Step 6: Final answer
    x = 1,067.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.