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Finding the Fourth Proportional to 1,004.30, 1,385.79 and 611.36

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Solution

The fourth proportional to 1,004.30, 1,385.79 and 611.36 is: 843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.30 : 1,385.79 = 611.36 : x
  2. Step 2: Convert to fraction form
    1,004.30/1,385.79 = 611.36/x
  3. Step 3: Cross multiply
    1,004.30x = 1,385.79 × 611.36
  4. Step 4: Simplify right side
    1,004.30x = 847,216.57
  5. Step 5: Solve for x
    x = 847,216.57/1,004.30
  6. Step 6: Final answer
    x = 843.59

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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.