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Finding the Fourth Proportional to 1,628.80, 2,443.02 and 474.55

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Solution

The fourth proportional to 1,628.80, 2,443.02 and 474.55 is: 711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.80 : 2,443.02 = 474.55 : x
  2. Step 2: Convert to fraction form
    1,628.80/2,443.02 = 474.55/x
  3. Step 3: Cross multiply
    1,628.80x = 2,443.02 × 474.55
  4. Step 4: Simplify right side
    1,628.80x = 1,159,335.14
  5. Step 5: Solve for x
    x = 1,159,335.14/1,628.80
  6. Step 6: Final answer
    x = 711.77

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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.