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Finding the Fourth Proportional to 1,323.69, 1,825.66 and 880.82

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Solution

The fourth proportional to 1,323.69, 1,825.66 and 880.82 is: 1,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.69 : 1,825.66 = 880.82 : x
  2. Step 2: Convert to fraction form
    1,323.69/1,825.66 = 880.82/x
  3. Step 3: Cross multiply
    1,323.69x = 1,825.66 × 880.82
  4. Step 4: Simplify right side
    1,323.69x = 1,608,071.08
  5. Step 5: Solve for x
    x = 1,608,071.08/1,323.69
  6. Step 6: Final answer
    x = 1,214.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.