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Finding the Fourth Proportional to 1,394.06, 1,923.89 and 804.59

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Solution

The fourth proportional to 1,394.06, 1,923.89 and 804.59 is: 1,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.06 : 1,923.89 = 804.59 : x
  2. Step 2: Convert to fraction form
    1,394.06/1,923.89 = 804.59/x
  3. Step 3: Cross multiply
    1,394.06x = 1,923.89 × 804.59
  4. Step 4: Simplify right side
    1,394.06x = 1,547,929.01
  5. Step 5: Solve for x
    x = 1,547,929.01/1,394.06
  6. Step 6: Final answer
    x = 1,110.38

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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.