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Finding the Fourth Proportional to 1,039.11, 1,433.66 and 728.07

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Solution

The fourth proportional to 1,039.11, 1,433.66 and 728.07 is: 1,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.11 : 1,433.66 = 728.07 : x
  2. Step 2: Convert to fraction form
    1,039.11/1,433.66 = 728.07/x
  3. Step 3: Cross multiply
    1,039.11x = 1,433.66 × 728.07
  4. Step 4: Simplify right side
    1,039.11x = 1,043,801.20
  5. Step 5: Solve for x
    x = 1,043,801.20/1,039.11
  6. Step 6: Final answer
    x = 1,004.51

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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.