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Finding the Fourth Proportional to 1,523.32, 2,284.94 and 427.76

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Solution

The fourth proportional to 1,523.32, 2,284.94 and 427.76 is: 641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.32 : 2,284.94 = 427.76 : x
  2. Step 2: Convert to fraction form
    1,523.32/2,284.94 = 427.76/x
  3. Step 3: Cross multiply
    1,523.32x = 2,284.94 × 427.76
  4. Step 4: Simplify right side
    1,523.32x = 977,405.93
  5. Step 5: Solve for x
    x = 977,405.93/1,523.32
  6. Step 6: Final answer
    x = 641.63

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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.