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Finding the Fourth Proportional to 1,077.72, 1,615.64 and 428.04

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Solution

The fourth proportional to 1,077.72, 1,615.64 and 428.04 is: 641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.72 : 1,615.64 = 428.04 : x
  2. Step 2: Convert to fraction form
    1,077.72/1,615.64 = 428.04/x
  3. Step 3: Cross multiply
    1,077.72x = 1,615.64 × 428.04
  4. Step 4: Simplify right side
    1,077.72x = 691,558.55
  5. Step 5: Solve for x
    x = 691,558.55/1,077.72
  6. Step 6: Final answer
    x = 641.69

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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.