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Finding the Fourth Proportional to 1,407.96, 1,943.01 and 848.43

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Solution

The fourth proportional to 1,407.96, 1,943.01 and 848.43 is: 1,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.96 : 1,943.01 = 848.43 : x
  2. Step 2: Convert to fraction form
    1,407.96/1,943.01 = 848.43/x
  3. Step 3: Cross multiply
    1,407.96x = 1,943.01 × 848.43
  4. Step 4: Simplify right side
    1,407.96x = 1,648,507.97
  5. Step 5: Solve for x
    x = 1,648,507.97/1,407.96
  6. Step 6: Final answer
    x = 1,170.85

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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.