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Finding the Fourth Proportional to 1,860.75, 2,789.47 and 707.31

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Solution

The fourth proportional to 1,860.75, 2,789.47 and 707.31 is: 1,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.75 : 2,789.47 = 707.31 : x
  2. Step 2: Convert to fraction form
    1,860.75/2,789.47 = 707.31/x
  3. Step 3: Cross multiply
    1,860.75x = 2,789.47 × 707.31
  4. Step 4: Simplify right side
    1,860.75x = 1,973,016.49
  5. Step 5: Solve for x
    x = 1,973,016.49/1,860.75
  6. Step 6: Final answer
    x = 1,060.33

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