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Finding the Fourth Proportional to 1,523.58, 2,285.37 and 427.95

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Solution

The fourth proportional to 1,523.58, 2,285.37 and 427.95 is: 641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.58 : 2,285.37 = 427.95 : x
  2. Step 2: Convert to fraction form
    1,523.58/2,285.37 = 427.95/x
  3. Step 3: Cross multiply
    1,523.58x = 2,285.37 × 427.95
  4. Step 4: Simplify right side
    1,523.58x = 978,024.09
  5. Step 5: Solve for x
    x = 978,024.09/1,523.58
  6. Step 6: Final answer
    x = 641.93

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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.