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Finding the Fourth Proportional to 1,054.20, 1,454.58 and 805.80

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Solution

The fourth proportional to 1,054.20, 1,454.58 and 805.80 is: 1,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.20 : 1,454.58 = 805.80 : x
  2. Step 2: Convert to fraction form
    1,054.20/1,454.58 = 805.80/x
  3. Step 3: Cross multiply
    1,054.20x = 1,454.58 × 805.80
  4. Step 4: Simplify right side
    1,054.20x = 1,172,100.56
  5. Step 5: Solve for x
    x = 1,172,100.56/1,054.20
  6. Step 6: Final answer
    x = 1,111.84

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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.