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Finding the Fourth Proportional to 1,503.42, 2,255.19 and 681.67

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Solution

The fourth proportional to 1,503.42, 2,255.19 and 681.67 is: 1,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.42 : 2,255.19 = 681.67 : x
  2. Step 2: Convert to fraction form
    1,503.42/2,255.19 = 681.67/x
  3. Step 3: Cross multiply
    1,503.42x = 2,255.19 × 681.67
  4. Step 4: Simplify right side
    1,503.42x = 1,537,295.37
  5. Step 5: Solve for x
    x = 1,537,295.37/1,503.42
  6. Step 6: Final answer
    x = 1,022.53

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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.