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Finding the Fourth Proportional to 1,052.56, 1,578.16 and 403

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Solution

The fourth proportional to 1,052.56, 1,578.16 and 403 is: 604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.56 : 1,578.16 = 403 : x
  2. Step 2: Convert to fraction form
    1,052.56/1,578.16 = 403/x
  3. Step 3: Cross multiply
    1,052.56x = 1,578.16 × 403
  4. Step 4: Simplify right side
    1,052.56x = 635,998.48
  5. Step 5: Solve for x
    x = 635,998.48/1,052.56
  6. Step 6: Final answer
    x = 604.24

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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.