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Finding the Fourth Proportional to 1,394.70, 1,924.71 and 765.27

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Solution

The fourth proportional to 1,394.70, 1,924.71 and 765.27 is: 1,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.70 : 1,924.71 = 765.27 : x
  2. Step 2: Convert to fraction form
    1,394.70/1,924.71 = 765.27/x
  3. Step 3: Cross multiply
    1,394.70x = 1,924.71 × 765.27
  4. Step 4: Simplify right side
    1,394.70x = 1,472,922.82
  5. Step 5: Solve for x
    x = 1,472,922.82/1,394.70
  6. Step 6: Final answer
    x = 1,056.09

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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.