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Finding the Fourth Proportional to 985.69, 1,480.52 and 770.59

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Solution

The fourth proportional to 985.69, 1,480.52 and 770.59 is: 1,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.69 : 1,480.52 = 770.59 : x
  2. Step 2: Convert to fraction form
    985.69/1,480.52 = 770.59/x
  3. Step 3: Cross multiply
    985.69x = 1,480.52 × 770.59
  4. Step 4: Simplify right side
    985.69x = 1,140,873.91
  5. Step 5: Solve for x
    x = 1,140,873.91/985.69
  6. Step 6: Final answer
    x = 1,157.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.