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Finding the Fourth Proportional to 1,330.60, 1,992.02 and 704.42

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Solution

The fourth proportional to 1,330.60, 1,992.02 and 704.42 is: 1,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.60 : 1,992.02 = 704.42 : x
  2. Step 2: Convert to fraction form
    1,330.60/1,992.02 = 704.42/x
  3. Step 3: Cross multiply
    1,330.60x = 1,992.02 × 704.42
  4. Step 4: Simplify right side
    1,330.60x = 1,403,218.73
  5. Step 5: Solve for x
    x = 1,403,218.73/1,330.60
  6. Step 6: Final answer
    x = 1,054.58

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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.