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Finding the Fourth Proportional to 1,503.20, 2,254.12 and 681.44

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Solution

The fourth proportional to 1,503.20, 2,254.12 and 681.44 is: 1,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.20 : 2,254.12 = 681.44 : x
  2. Step 2: Convert to fraction form
    1,503.20/2,254.12 = 681.44/x
  3. Step 3: Cross multiply
    1,503.20x = 2,254.12 × 681.44
  4. Step 4: Simplify right side
    1,503.20x = 1,536,047.53
  5. Step 5: Solve for x
    x = 1,536,047.53/1,503.20
  6. Step 6: Final answer
    x = 1,021.85

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1.5x scale

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.