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Finding the Fourth Proportional to 1,055.74, 1,454.97 and 822.46

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Solution

The fourth proportional to 1,055.74, 1,454.97 and 822.46 is: 1,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.74 : 1,454.97 = 822.46 : x
  2. Step 2: Convert to fraction form
    1,055.74/1,454.97 = 822.46/x
  3. Step 3: Cross multiply
    1,055.74x = 1,454.97 × 822.46
  4. Step 4: Simplify right side
    1,055.74x = 1,196,654.63
  5. Step 5: Solve for x
    x = 1,196,654.63/1,055.74
  6. Step 6: Final answer
    x = 1,133.47

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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.