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Finding the Fourth Proportional to 1,453.96, 2,180.22 and 529.48

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Solution

The fourth proportional to 1,453.96, 2,180.22 and 529.48 is: 793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.96 : 2,180.22 = 529.48 : x
  2. Step 2: Convert to fraction form
    1,453.96/2,180.22 = 529.48/x
  3. Step 3: Cross multiply
    1,453.96x = 2,180.22 × 529.48
  4. Step 4: Simplify right side
    1,453.96x = 1,154,382.89
  5. Step 5: Solve for x
    x = 1,154,382.89/1,453.96
  6. Step 6: Final answer
    x = 793.96

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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.