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Finding the Fourth Proportional to 1,494.59, 2,242.02 and 764.78

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Solution

The fourth proportional to 1,494.59, 2,242.02 and 764.78 is: 1,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.59 : 2,242.02 = 764.78 : x
  2. Step 2: Convert to fraction form
    1,494.59/2,242.02 = 764.78/x
  3. Step 3: Cross multiply
    1,494.59x = 2,242.02 × 764.78
  4. Step 4: Simplify right side
    1,494.59x = 1,714,652.06
  5. Step 5: Solve for x
    x = 1,714,652.06/1,494.59
  6. Step 6: Final answer
    x = 1,147.24

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Why These Related Problems?

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