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Finding the Fourth Proportional to 1,600.75, 2,401.16 and 446.53

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Solution

The fourth proportional to 1,600.75, 2,401.16 and 446.53 is: 669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.75 : 2,401.16 = 446.53 : x
  2. Step 2: Convert to fraction form
    1,600.75/2,401.16 = 446.53/x
  3. Step 3: Cross multiply
    1,600.75x = 2,401.16 × 446.53
  4. Step 4: Simplify right side
    1,600.75x = 1,072,189.97
  5. Step 5: Solve for x
    x = 1,072,189.97/1,600.75
  6. Step 6: Final answer
    x = 669.80

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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.