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Finding the Fourth Proportional to 1,054.91, 1,455.83 and 635.33

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Solution

The fourth proportional to 1,054.91, 1,455.83 and 635.33 is: 876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.91 : 1,455.83 = 635.33 : x
  2. Step 2: Convert to fraction form
    1,054.91/1,455.83 = 635.33/x
  3. Step 3: Cross multiply
    1,054.91x = 1,455.83 × 635.33
  4. Step 4: Simplify right side
    1,054.91x = 924,922.02
  5. Step 5: Solve for x
    x = 924,922.02/1,054.91
  6. Step 6: Final answer
    x = 876.78

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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.