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Finding the Fourth Proportional to 1,523.34, 2,284.80 and 427.68

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Solution

The fourth proportional to 1,523.34, 2,284.80 and 427.68 is: 641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.34 : 2,284.80 = 427.68 : x
  2. Step 2: Convert to fraction form
    1,523.34/2,284.80 = 427.68/x
  3. Step 3: Cross multiply
    1,523.34x = 2,284.80 × 427.68
  4. Step 4: Simplify right side
    1,523.34x = 977,163.26
  5. Step 5: Solve for x
    x = 977,163.26/1,523.34
  6. Step 6: Final answer
    x = 641.46

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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.