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Finding the Fourth Proportional to 1,336.53, 2,004.97 and 458.80

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Solution

The fourth proportional to 1,336.53, 2,004.97 and 458.80 is: 688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.53 : 2,004.97 = 458.80 : x
  2. Step 2: Convert to fraction form
    1,336.53/2,004.97 = 458.80/x
  3. Step 3: Cross multiply
    1,336.53x = 2,004.97 × 458.80
  4. Step 4: Simplify right side
    1,336.53x = 919,880.24
  5. Step 5: Solve for x
    x = 919,880.24/1,336.53
  6. Step 6: Final answer
    x = 688.26

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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.