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Finding the Fourth Proportional to 1,407.78, 1,942.02 and 959.31

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Solution

The fourth proportional to 1,407.78, 1,942.02 and 959.31 is: 1,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.78 : 1,942.02 = 959.31 : x
  2. Step 2: Convert to fraction form
    1,407.78/1,942.02 = 959.31/x
  3. Step 3: Cross multiply
    1,407.78x = 1,942.02 × 959.31
  4. Step 4: Simplify right side
    1,407.78x = 1,862,999.21
  5. Step 5: Solve for x
    x = 1,862,999.21/1,407.78
  6. Step 6: Final answer
    x = 1,323.36

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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.