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Finding the Fourth Proportional to 1,631.56, 2,447.42 and 657.53

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Solution

The fourth proportional to 1,631.56, 2,447.42 and 657.53 is: 986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.56 : 2,447.42 = 657.53 : x
  2. Step 2: Convert to fraction form
    1,631.56/2,447.42 = 657.53/x
  3. Step 3: Cross multiply
    1,631.56x = 2,447.42 × 657.53
  4. Step 4: Simplify right side
    1,631.56x = 1,609,252.07
  5. Step 5: Solve for x
    x = 1,609,252.07/1,631.56
  6. Step 6: Final answer
    x = 986.33

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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.