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Finding the Fourth Proportional to 1,600.64, 2,401.38 and 505.02

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Solution

The fourth proportional to 1,600.64, 2,401.38 and 505.02 is: 757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.64 : 2,401.38 = 505.02 : x
  2. Step 2: Convert to fraction form
    1,600.64/2,401.38 = 505.02/x
  3. Step 3: Cross multiply
    1,600.64x = 2,401.38 × 505.02
  4. Step 4: Simplify right side
    1,600.64x = 1,212,744.93
  5. Step 5: Solve for x
    x = 1,212,744.93/1,600.64
  6. Step 6: Final answer
    x = 757.66

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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.