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Finding the Fourth Proportional to 1,453.05, 2,178.23 and 587.97

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Solution

The fourth proportional to 1,453.05, 2,178.23 and 587.97 is: 881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.05 : 2,178.23 = 587.97 : x
  2. Step 2: Convert to fraction form
    1,453.05/2,178.23 = 587.97/x
  3. Step 3: Cross multiply
    1,453.05x = 2,178.23 × 587.97
  4. Step 4: Simplify right side
    1,453.05x = 1,280,730.95
  5. Step 5: Solve for x
    x = 1,280,730.95/1,453.05
  6. Step 6: Final answer
    x = 881.41

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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.