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Finding the Fourth Proportional to 1,052.06, 1,578.03 and 282.50

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Solution

The fourth proportional to 1,052.06, 1,578.03 and 282.50 is: 423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.06 : 1,578.03 = 282.50 : x
  2. Step 2: Convert to fraction form
    1,052.06/1,578.03 = 282.50/x
  3. Step 3: Cross multiply
    1,052.06x = 1,578.03 × 282.50
  4. Step 4: Simplify right side
    1,052.06x = 445,793.48
  5. Step 5: Solve for x
    x = 445,793.48/1,052.06
  6. Step 6: Final answer
    x = 423.73

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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.