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Finding the Fourth Proportional to 1,600.31, 2,400.47 and 446.06

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Solution

The fourth proportional to 1,600.31, 2,400.47 and 446.06 is: 669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.31 : 2,400.47 = 446.06 : x
  2. Step 2: Convert to fraction form
    1,600.31/2,400.47 = 446.06/x
  3. Step 3: Cross multiply
    1,600.31x = 2,400.47 × 446.06
  4. Step 4: Simplify right side
    1,600.31x = 1,070,759.09
  5. Step 5: Solve for x
    x = 1,070,759.09/1,600.31
  6. Step 6: Final answer
    x = 669.09

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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.