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Finding the Fourth Proportional to 1,074.60, 1,484.82 and 851.16

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Solution

The fourth proportional to 1,074.60, 1,484.82 and 851.16 is: 1,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.60 : 1,484.82 = 851.16 : x
  2. Step 2: Convert to fraction form
    1,074.60/1,484.82 = 851.16/x
  3. Step 3: Cross multiply
    1,074.60x = 1,484.82 × 851.16
  4. Step 4: Simplify right side
    1,074.60x = 1,263,819.39
  5. Step 5: Solve for x
    x = 1,263,819.39/1,074.60
  6. Step 6: Final answer
    x = 1,176.08

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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.