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Finding the Fourth Proportional to 1,503.42, 2,255.73 and 638.34

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Solution

The fourth proportional to 1,503.42, 2,255.73 and 638.34 is: 957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.42 : 2,255.73 = 638.34 : x
  2. Step 2: Convert to fraction form
    1,503.42/2,255.73 = 638.34/x
  3. Step 3: Cross multiply
    1,503.42x = 2,255.73 × 638.34
  4. Step 4: Simplify right side
    1,503.42x = 1,439,922.69
  5. Step 5: Solve for x
    x = 1,439,922.69/1,503.42
  6. Step 6: Final answer
    x = 957.76

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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.