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Finding the Fourth Proportional to 1,453.23, 2,178.62 and 630.89

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Solution

The fourth proportional to 1,453.23, 2,178.62 and 630.89 is: 945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.23 : 2,178.62 = 630.89 : x
  2. Step 2: Convert to fraction form
    1,453.23/2,178.62 = 630.89/x
  3. Step 3: Cross multiply
    1,453.23x = 2,178.62 × 630.89
  4. Step 4: Simplify right side
    1,453.23x = 1,374,458.68
  5. Step 5: Solve for x
    x = 1,374,458.68/1,453.23
  6. Step 6: Final answer
    x = 945.80

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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.