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Finding the Fourth Proportional to 1,394.10, 1,923.90 and 764.66

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Solution

The fourth proportional to 1,394.10, 1,923.90 and 764.66 is: 1,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.10 : 1,923.90 = 764.66 : x
  2. Step 2: Convert to fraction form
    1,394.10/1,923.90 = 764.66/x
  3. Step 3: Cross multiply
    1,394.10x = 1,923.90 × 764.66
  4. Step 4: Simplify right side
    1,394.10x = 1,471,115.93
  5. Step 5: Solve for x
    x = 1,471,115.93/1,394.10
  6. Step 6: Final answer
    x = 1,055.24

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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.