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Finding the Fourth Proportional to 1,263.54, 1,739.43 and 1,042.14

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Solution

The fourth proportional to 1,263.54, 1,739.43 and 1,042.14 is: 1,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.54 : 1,739.43 = 1,042.14 : x
  2. Step 2: Convert to fraction form
    1,263.54/1,739.43 = 1,042.14/x
  3. Step 3: Cross multiply
    1,263.54x = 1,739.43 × 1,042.14
  4. Step 4: Simplify right side
    1,263.54x = 1,812,729.58
  5. Step 5: Solve for x
    x = 1,812,729.58/1,263.54
  6. Step 6: Final answer
    x = 1,434.64

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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.