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Finding the Fourth Proportional to 1,629, 2,443.50 and 474.76

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Solution

The fourth proportional to 1,629, 2,443.50 and 474.76 is: 712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629 : 2,443.50 = 474.76 : x
  2. Step 2: Convert to fraction form
    1,629/2,443.50 = 474.76/x
  3. Step 3: Cross multiply
    1,629x = 2,443.50 × 474.76
  4. Step 4: Simplify right side
    1,629x = 1,160,076.06
  5. Step 5: Solve for x
    x = 1,160,076.06/1,629
  6. Step 6: Final answer
    x = 712.14

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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.