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Finding the Fourth Proportional to 1,407.76, 1,942.71 and 818.31

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Solution

The fourth proportional to 1,407.76, 1,942.71 and 818.31 is: 1,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.76 : 1,942.71 = 818.31 : x
  2. Step 2: Convert to fraction form
    1,407.76/1,942.71 = 818.31/x
  3. Step 3: Cross multiply
    1,407.76x = 1,942.71 × 818.31
  4. Step 4: Simplify right side
    1,407.76x = 1,589,739.02
  5. Step 5: Solve for x
    x = 1,589,739.02/1,407.76
  6. Step 6: Final answer
    x = 1,129.27

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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.