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Finding the Fourth Proportional to 1,052.97, 1,579.46 and 322.54

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Solution

The fourth proportional to 1,052.97, 1,579.46 and 322.54 is: 483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.97 : 1,579.46 = 322.54 : x
  2. Step 2: Convert to fraction form
    1,052.97/1,579.46 = 322.54/x
  3. Step 3: Cross multiply
    1,052.97x = 1,579.46 × 322.54
  4. Step 4: Simplify right side
    1,052.97x = 509,433.47
  5. Step 5: Solve for x
    x = 509,433.47/1,052.97
  6. Step 6: Final answer
    x = 483.81

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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.