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Finding the Fourth Proportional to 1,230.56, 1,697.37 and 764.78

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Solution

The fourth proportional to 1,230.56, 1,697.37 and 764.78 is: 1,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.56 : 1,697.37 = 764.78 : x
  2. Step 2: Convert to fraction form
    1,230.56/1,697.37 = 764.78/x
  3. Step 3: Cross multiply
    1,230.56x = 1,697.37 × 764.78
  4. Step 4: Simplify right side
    1,230.56x = 1,298,114.63
  5. Step 5: Solve for x
    x = 1,298,114.63/1,230.56
  6. Step 6: Final answer
    x = 1,054.90

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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.