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Finding the Fourth Proportional to 1,523.17, 2,284.74 and 427.53

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Solution

The fourth proportional to 1,523.17, 2,284.74 and 427.53 is: 641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.17 : 2,284.74 = 427.53 : x
  2. Step 2: Convert to fraction form
    1,523.17/2,284.74 = 427.53/x
  3. Step 3: Cross multiply
    1,523.17x = 2,284.74 × 427.53
  4. Step 4: Simplify right side
    1,523.17x = 976,794.89
  5. Step 5: Solve for x
    x = 976,794.89/1,523.17
  6. Step 6: Final answer
    x = 641.29

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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.