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Finding the Fourth Proportional to 1,604.28, 2,404.82 and 955.32

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Solution

The fourth proportional to 1,604.28, 2,404.82 and 955.32 is: 1,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.28 : 2,404.82 = 955.32 : x
  2. Step 2: Convert to fraction form
    1,604.28/2,404.82 = 955.32/x
  3. Step 3: Cross multiply
    1,604.28x = 2,404.82 × 955.32
  4. Step 4: Simplify right side
    1,604.28x = 2,297,372.64
  5. Step 5: Solve for x
    x = 2,297,372.64/1,604.28
  6. Step 6: Final answer
    x = 1,432.03

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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.