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Finding the Fourth Proportional to 1,454.09, 2,180.60 and 529.43

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Solution

The fourth proportional to 1,454.09, 2,180.60 and 529.43 is: 793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.09 : 2,180.60 = 529.43 : x
  2. Step 2: Convert to fraction form
    1,454.09/2,180.60 = 529.43/x
  3. Step 3: Cross multiply
    1,454.09x = 2,180.60 × 529.43
  4. Step 4: Simplify right side
    1,454.09x = 1,154,461.51
  5. Step 5: Solve for x
    x = 1,154,461.51/1,454.09
  6. Step 6: Final answer
    x = 793.94

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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.