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Finding the Fourth Proportional to 1,445.96, 1,995.21 and 848.23

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Solution

The fourth proportional to 1,445.96, 1,995.21 and 848.23 is: 1,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.96 : 1,995.21 = 848.23 : x
  2. Step 2: Convert to fraction form
    1,445.96/1,995.21 = 848.23/x
  3. Step 3: Cross multiply
    1,445.96x = 1,995.21 × 848.23
  4. Step 4: Simplify right side
    1,445.96x = 1,692,382.76
  5. Step 5: Solve for x
    x = 1,692,382.76/1,445.96
  6. Step 6: Final answer
    x = 1,170.43

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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.