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Finding the Fourth Proportional to 1,074.52, 1,482.30 and 680.92

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Solution

The fourth proportional to 1,074.52, 1,482.30 and 680.92 is: 939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.52 : 1,482.30 = 680.92 : x
  2. Step 2: Convert to fraction form
    1,074.52/1,482.30 = 680.92/x
  3. Step 3: Cross multiply
    1,074.52x = 1,482.30 × 680.92
  4. Step 4: Simplify right side
    1,074.52x = 1,009,327.72
  5. Step 5: Solve for x
    x = 1,009,327.72/1,074.52
  6. Step 6: Final answer
    x = 939.33

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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.