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Finding the Fourth Proportional to 1,447.92, 2,171.64 and 474.02

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Solution

The fourth proportional to 1,447.92, 2,171.64 and 474.02 is: 710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.92 : 2,171.64 = 474.02 : x
  2. Step 2: Convert to fraction form
    1,447.92/2,171.64 = 474.02/x
  3. Step 3: Cross multiply
    1,447.92x = 2,171.64 × 474.02
  4. Step 4: Simplify right side
    1,447.92x = 1,029,400.79
  5. Step 5: Solve for x
    x = 1,029,400.79/1,447.92
  6. Step 6: Final answer
    x = 710.95

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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.