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Finding the Fourth Proportional to 1,629.61, 2,445.63 and 764.53

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Solution

The fourth proportional to 1,629.61, 2,445.63 and 764.53 is: 1,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.61 : 2,445.63 = 764.53 : x
  2. Step 2: Convert to fraction form
    1,629.61/2,445.63 = 764.53/x
  3. Step 3: Cross multiply
    1,629.61x = 2,445.63 × 764.53
  4. Step 4: Simplify right side
    1,629.61x = 1,869,748.52
  5. Step 5: Solve for x
    x = 1,869,748.52/1,629.61
  6. Step 6: Final answer
    x = 1,147.36

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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.