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Finding the Fourth Proportional to 1,394.29, 1,924.13 and 764.83

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Solution

The fourth proportional to 1,394.29, 1,924.13 and 764.83 is: 1,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.29 : 1,924.13 = 764.83 : x
  2. Step 2: Convert to fraction form
    1,394.29/1,924.13 = 764.83/x
  3. Step 3: Cross multiply
    1,394.29x = 1,924.13 × 764.83
  4. Step 4: Simplify right side
    1,394.29x = 1,471,623.30
  5. Step 5: Solve for x
    x = 1,471,623.30/1,394.29
  6. Step 6: Final answer
    x = 1,055.46

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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.