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Finding the Fourth Proportional to 1,305.36, 1,800.36 and 1,147.66

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Solution

The fourth proportional to 1,305.36, 1,800.36 and 1,147.66 is: 1,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.36 : 1,800.36 = 1,147.66 : x
  2. Step 2: Convert to fraction form
    1,305.36/1,800.36 = 1,147.66/x
  3. Step 3: Cross multiply
    1,305.36x = 1,800.36 × 1,147.66
  4. Step 4: Simplify right side
    1,305.36x = 2,066,195.42
  5. Step 5: Solve for x
    x = 2,066,195.42/1,305.36
  6. Step 6: Final answer
    x = 1,582.85

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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.