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Finding the Fourth Proportional to 1,629.96, 2,445.35 and 475.71

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Solution

The fourth proportional to 1,629.96, 2,445.35 and 475.71 is: 713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.96 : 2,445.35 = 475.71 : x
  2. Step 2: Convert to fraction form
    1,629.96/2,445.35 = 475.71/x
  3. Step 3: Cross multiply
    1,629.96x = 2,445.35 × 475.71
  4. Step 4: Simplify right side
    1,629.96x = 1,163,277.45
  5. Step 5: Solve for x
    x = 1,163,277.45/1,629.96
  6. Step 6: Final answer
    x = 713.68

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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.