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Finding the Fourth Proportional to 1,209.73, 1,813.69 and 624.10

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Solution

The fourth proportional to 1,209.73, 1,813.69 and 624.10 is: 935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.73 : 1,813.69 = 624.10 : x
  2. Step 2: Convert to fraction form
    1,209.73/1,813.69 = 624.10/x
  3. Step 3: Cross multiply
    1,209.73x = 1,813.69 × 624.10
  4. Step 4: Simplify right side
    1,209.73x = 1,131,923.93
  5. Step 5: Solve for x
    x = 1,131,923.93/1,209.73
  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.