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Finding the Fourth Proportional to 1,407.25, 1,942.79 and 935.79

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Solution

The fourth proportional to 1,407.25, 1,942.79 and 935.79 is: 1,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.25 : 1,942.79 = 935.79 : x
  2. Step 2: Convert to fraction form
    1,407.25/1,942.79 = 935.79/x
  3. Step 3: Cross multiply
    1,407.25x = 1,942.79 × 935.79
  4. Step 4: Simplify right side
    1,407.25x = 1,818,043.45
  5. Step 5: Solve for x
    x = 1,818,043.45/1,407.25
  6. Step 6: Final answer
    x = 1,291.91

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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.