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Finding the Fourth Proportional to 1,305.67, 1,801.29 and 955.75

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Solution

The fourth proportional to 1,305.67, 1,801.29 and 955.75 is: 1,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.67 : 1,801.29 = 955.75 : x
  2. Step 2: Convert to fraction form
    1,305.67/1,801.29 = 955.75/x
  3. Step 3: Cross multiply
    1,305.67x = 1,801.29 × 955.75
  4. Step 4: Simplify right side
    1,305.67x = 1,721,582.92
  5. Step 5: Solve for x
    x = 1,721,582.92/1,305.67
  6. Step 6: Final answer
    x = 1,318.54

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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.