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Finding the Fourth Proportional to 1,503.40, 2,255.10 and 681.44

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Solution

The fourth proportional to 1,503.40, 2,255.10 and 681.44 is: 1,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.40 : 2,255.10 = 681.44 : x
  2. Step 2: Convert to fraction form
    1,503.40/2,255.10 = 681.44/x
  3. Step 3: Cross multiply
    1,503.40x = 2,255.10 × 681.44
  4. Step 4: Simplify right side
    1,503.40x = 1,536,715.34
  5. Step 5: Solve for x
    x = 1,536,715.34/1,503.40
  6. Step 6: Final answer
    x = 1,022.16

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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.