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Finding the Fourth Proportional to 1,052.53, 1,578.82 and 532.78

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Solution

The fourth proportional to 1,052.53, 1,578.82 and 532.78 is: 799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.53 : 1,578.82 = 532.78 : x
  2. Step 2: Convert to fraction form
    1,052.53/1,578.82 = 532.78/x
  3. Step 3: Cross multiply
    1,052.53x = 1,578.82 × 532.78
  4. Step 4: Simplify right side
    1,052.53x = 841,157.94
  5. Step 5: Solve for x
    x = 841,157.94/1,052.53
  6. Step 6: Final answer
    x = 799.18

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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.