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Finding the Fourth Proportional to 1,321.02, 1,981.76 and 499.41

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Solution

The fourth proportional to 1,321.02, 1,981.76 and 499.41 is: 749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.02 : 1,981.76 = 499.41 : x
  2. Step 2: Convert to fraction form
    1,321.02/1,981.76 = 499.41/x
  3. Step 3: Cross multiply
    1,321.02x = 1,981.76 × 499.41
  4. Step 4: Simplify right side
    1,321.02x = 989,708.26
  5. Step 5: Solve for x
    x = 989,708.26/1,321.02
  6. Step 6: Final answer
    x = 749.20

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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.