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Finding the Fourth Proportional to 1,523.53, 2,284.98 and 427.96

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Solution

The fourth proportional to 1,523.53, 2,284.98 and 427.96 is: 641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.53 : 2,284.98 = 427.96 : x
  2. Step 2: Convert to fraction form
    1,523.53/2,284.98 = 427.96/x
  3. Step 3: Cross multiply
    1,523.53x = 2,284.98 × 427.96
  4. Step 4: Simplify right side
    1,523.53x = 977,880.04
  5. Step 5: Solve for x
    x = 977,880.04/1,523.53
  6. Step 6: Final answer
    x = 641.85

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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.