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Finding the Fourth Proportional to 1,052.89, 1,579.37 and 322.54

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Solution

The fourth proportional to 1,052.89, 1,579.37 and 322.54 is: 483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.89 : 1,579.37 = 322.54 : x
  2. Step 2: Convert to fraction form
    1,052.89/1,579.37 = 322.54/x
  3. Step 3: Cross multiply
    1,052.89x = 1,579.37 × 322.54
  4. Step 4: Simplify right side
    1,052.89x = 509,404.44
  5. Step 5: Solve for x
    x = 509,404.44/1,052.89
  6. Step 6: Final answer
    x = 483.82

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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.