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Finding the Fourth Proportional to 985.62, 1,359.86 and 764.20

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Solution

The fourth proportional to 985.62, 1,359.86 and 764.20 is: 1,054.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.62 : 1,359.86 = 764.20 : x
  2. Step 2: Convert to fraction form
    985.62/1,359.86 = 764.20/x
  3. Step 3: Cross multiply
    985.62x = 1,359.86 × 764.20
  4. Step 4: Simplify right side
    985.62x = 1,039,205.01
  5. Step 5: Solve for x
    x = 1,039,205.01/985.62
  6. Step 6: Final answer
    x = 1,054.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.