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Finding the Fourth Proportional to 1,190.02, 1,641.86 and 770.60

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Solution

The fourth proportional to 1,190.02, 1,641.86 and 770.60 is: 1,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.02 : 1,641.86 = 770.60 : x
  2. Step 2: Convert to fraction form
    1,190.02/1,641.86 = 770.60/x
  3. Step 3: Cross multiply
    1,190.02x = 1,641.86 × 770.60
  4. Step 4: Simplify right side
    1,190.02x = 1,265,217.32
  5. Step 5: Solve for x
    x = 1,265,217.32/1,190.02
  6. Step 6: Final answer
    x = 1,063.19

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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.