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Finding the Fourth Proportional to 1,354.73, 1,869.26 and 765.23

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Solution

The fourth proportional to 1,354.73, 1,869.26 and 765.23 is: 1,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.73 : 1,869.26 = 765.23 : x
  2. Step 2: Convert to fraction form
    1,354.73/1,869.26 = 765.23/x
  3. Step 3: Cross multiply
    1,354.73x = 1,869.26 × 765.23
  4. Step 4: Simplify right side
    1,354.73x = 1,430,400.66
  5. Step 5: Solve for x
    x = 1,430,400.66/1,354.73
  6. Step 6: Final answer
    x = 1,055.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.