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Finding the Fourth Proportional to 1,055.82, 1,456.97 and 583.72

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Solution

The fourth proportional to 1,055.82, 1,456.97 and 583.72 is: 805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.82 : 1,456.97 = 583.72 : x
  2. Step 2: Convert to fraction form
    1,055.82/1,456.97 = 583.72/x
  3. Step 3: Cross multiply
    1,055.82x = 1,456.97 × 583.72
  4. Step 4: Simplify right side
    1,055.82x = 850,455.97
  5. Step 5: Solve for x
    x = 850,455.97/1,055.82
  6. Step 6: Final answer
    x = 805.49

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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.