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Finding the Fourth Proportional to 1,201.96, 1,801.86 and 624.16

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Solution

The fourth proportional to 1,201.96, 1,801.86 and 624.16 is: 935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.96 : 1,801.86 = 624.16 : x
  2. Step 2: Convert to fraction form
    1,201.96/1,801.86 = 624.16/x
  3. Step 3: Cross multiply
    1,201.96x = 1,801.86 × 624.16
  4. Step 4: Simplify right side
    1,201.96x = 1,124,648.94
  5. Step 5: Solve for x
    x = 1,124,648.94/1,201.96
  6. Step 6: Final answer
    x = 935.68

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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.