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Finding the Fourth Proportional to 1,329.88, 1,992.54 and 713.88

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Solution

The fourth proportional to 1,329.88, 1,992.54 and 713.88 is: 1,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.88 : 1,992.54 = 713.88 : x
  2. Step 2: Convert to fraction form
    1,329.88/1,992.54 = 713.88/x
  3. Step 3: Cross multiply
    1,329.88x = 1,992.54 × 713.88
  4. Step 4: Simplify right side
    1,329.88x = 1,422,434.46
  5. Step 5: Solve for x
    x = 1,422,434.46/1,329.88
  6. Step 6: Final answer
    x = 1,069.60

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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.