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Finding the Fourth Proportional to 1,394.69, 1,924.62 and 765.20

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Solution

The fourth proportional to 1,394.69, 1,924.62 and 765.20 is: 1,055.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.69 : 1,924.62 = 765.20 : x
  2. Step 2: Convert to fraction form
    1,394.69/1,924.62 = 765.20/x
  3. Step 3: Cross multiply
    1,394.69x = 1,924.62 × 765.20
  4. Step 4: Simplify right side
    1,394.69x = 1,472,709.60
  5. Step 5: Solve for x
    x = 1,472,709.60/1,394.69
  6. Step 6: Final answer
    x = 1,055.94

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Why These Related Problems?

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