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Finding the Fourth Proportional to 1,453.52, 2,180.30 and 529.30

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Solution

The fourth proportional to 1,453.52, 2,180.30 and 529.30 is: 793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.52 : 2,180.30 = 529.30 : x
  2. Step 2: Convert to fraction form
    1,453.52/2,180.30 = 529.30/x
  3. Step 3: Cross multiply
    1,453.52x = 2,180.30 × 529.30
  4. Step 4: Simplify right side
    1,453.52x = 1,154,032.79
  5. Step 5: Solve for x
    x = 1,154,032.79/1,453.52
  6. Step 6: Final answer
    x = 793.96

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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.