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Finding the Fourth Proportional to 1,329.30, 1,832.22 and 955.92

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Solution

The fourth proportional to 1,329.30, 1,832.22 and 955.92 is: 1,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.30 : 1,832.22 = 955.92 : x
  2. Step 2: Convert to fraction form
    1,329.30/1,832.22 = 955.92/x
  3. Step 3: Cross multiply
    1,329.30x = 1,832.22 × 955.92
  4. Step 4: Simplify right side
    1,329.30x = 1,751,455.74
  5. Step 5: Solve for x
    x = 1,751,455.74/1,329.30
  6. Step 6: Final answer
    x = 1,317.58

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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.