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Finding the Fourth Proportional to 1,523.01, 2,284.91 and 427.39

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Solution

The fourth proportional to 1,523.01, 2,284.91 and 427.39 is: 641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.01 : 2,284.91 = 427.39 : x
  2. Step 2: Convert to fraction form
    1,523.01/2,284.91 = 427.39/x
  3. Step 3: Cross multiply
    1,523.01x = 2,284.91 × 427.39
  4. Step 4: Simplify right side
    1,523.01x = 976,541.44
  5. Step 5: Solve for x
    x = 976,541.44/1,523.01
  6. Step 6: Final answer
    x = 641.19

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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.