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Finding the Fourth Proportional to 1,600.93, 2,401.19 and 431.02

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Solution

The fourth proportional to 1,600.93, 2,401.19 and 431.02 is: 646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.93 : 2,401.19 = 431.02 : x
  2. Step 2: Convert to fraction form
    1,600.93/2,401.19 = 431.02/x
  3. Step 3: Cross multiply
    1,600.93x = 2,401.19 × 431.02
  4. Step 4: Simplify right side
    1,600.93x = 1,034,965.80
  5. Step 5: Solve for x
    x = 1,034,965.80/1,600.93
  6. Step 6: Final answer
    x = 646.48

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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.