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Finding the Fourth Proportional to 1,302.83, 1,797.41 and 804.61

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Solution

The fourth proportional to 1,302.83, 1,797.41 and 804.61 is: 1,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.83 : 1,797.41 = 804.61 : x
  2. Step 2: Convert to fraction form
    1,302.83/1,797.41 = 804.61/x
  3. Step 3: Cross multiply
    1,302.83x = 1,797.41 × 804.61
  4. Step 4: Simplify right side
    1,302.83x = 1,446,201.05
  5. Step 5: Solve for x
    x = 1,446,201.05/1,302.83
  6. Step 6: Final answer
    x = 1,110.05

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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.