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Finding the Fourth Proportional to 1,628.75, 2,443.35 and 474.50

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Solution

The fourth proportional to 1,628.75, 2,443.35 and 474.50 is: 711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.75 : 2,443.35 = 474.50 : x
  2. Step 2: Convert to fraction form
    1,628.75/2,443.35 = 474.50/x
  3. Step 3: Cross multiply
    1,628.75x = 2,443.35 × 474.50
  4. Step 4: Simplify right side
    1,628.75x = 1,159,369.58
  5. Step 5: Solve for x
    x = 1,159,369.58/1,628.75
  6. Step 6: Final answer
    x = 711.82

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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.