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Finding the Fourth Proportional to 1,407.27, 1,942.20 and 818.01

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Solution

The fourth proportional to 1,407.27, 1,942.20 and 818.01 is: 1,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.27 : 1,942.20 = 818.01 : x
  2. Step 2: Convert to fraction form
    1,407.27/1,942.20 = 818.01/x
  3. Step 3: Cross multiply
    1,407.27x = 1,942.20 × 818.01
  4. Step 4: Simplify right side
    1,407.27x = 1,588,739.02
  5. Step 5: Solve for x
    x = 1,588,739.02/1,407.27
  6. Step 6: Final answer
    x = 1,128.95

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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.