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Finding the Fourth Proportional to 1,343.76, 1,852.90 and 845.80

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Solution

The fourth proportional to 1,343.76, 1,852.90 and 845.80 is: 1,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.76 : 1,852.90 = 845.80 : x
  2. Step 2: Convert to fraction form
    1,343.76/1,852.90 = 845.80/x
  3. Step 3: Cross multiply
    1,343.76x = 1,852.90 × 845.80
  4. Step 4: Simplify right side
    1,343.76x = 1,567,182.82
  5. Step 5: Solve for x
    x = 1,567,182.82/1,343.76
  6. Step 6: Final answer
    x = 1,166.27

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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.