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Finding the Fourth Proportional to 1,052.60, 1,578.24 and 436.73

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Solution

The fourth proportional to 1,052.60, 1,578.24 and 436.73 is: 654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.60 : 1,578.24 = 436.73 : x
  2. Step 2: Convert to fraction form
    1,052.60/1,578.24 = 436.73/x
  3. Step 3: Cross multiply
    1,052.60x = 1,578.24 × 436.73
  4. Step 4: Simplify right side
    1,052.60x = 689,256.86
  5. Step 5: Solve for x
    x = 689,256.86/1,052.60
  6. Step 6: Final answer
    x = 654.82

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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.