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Finding the Fourth Proportional to 1,321.44, 1,981.08 and 499.25

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Solution

The fourth proportional to 1,321.44, 1,981.08 and 499.25 is: 748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.44 : 1,981.08 = 499.25 : x
  2. Step 2: Convert to fraction form
    1,321.44/1,981.08 = 499.25/x
  3. Step 3: Cross multiply
    1,321.44x = 1,981.08 × 499.25
  4. Step 4: Simplify right side
    1,321.44x = 989,044.28
  5. Step 5: Solve for x
    x = 989,044.28/1,321.44
  6. Step 6: Final answer
    x = 748.46

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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.