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Finding the Fourth Proportional to 1,629.01, 2,443.59 and 474.76

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Solution

The fourth proportional to 1,629.01, 2,443.59 and 474.76 is: 712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.01 : 2,443.59 = 474.76 : x
  2. Step 2: Convert to fraction form
    1,629.01/2,443.59 = 474.76/x
  3. Step 3: Cross multiply
    1,629.01x = 2,443.59 × 474.76
  4. Step 4: Simplify right side
    1,629.01x = 1,160,118.79
  5. Step 5: Solve for x
    x = 1,160,118.79/1,629.01
  6. Step 6: Final answer
    x = 712.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.