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Finding the Fourth Proportional to 1,052.42, 1,578.66 and 282.92

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Solution

The fourth proportional to 1,052.42, 1,578.66 and 282.92 is: 424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.42 : 1,578.66 = 282.92 : x
  2. Step 2: Convert to fraction form
    1,052.42/1,578.66 = 282.92/x
  3. Step 3: Cross multiply
    1,052.42x = 1,578.66 × 282.92
  4. Step 4: Simplify right side
    1,052.42x = 446,634.49
  5. Step 5: Solve for x
    x = 446,634.49/1,052.42
  6. Step 6: Final answer
    x = 424.39

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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.