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Finding the Fourth Proportional to 1,209.50, 1,813.25 and 468.73

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Solution

The fourth proportional to 1,209.50, 1,813.25 and 468.73 is: 702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.50 : 1,813.25 = 468.73 : x
  2. Step 2: Convert to fraction form
    1,209.50/1,813.25 = 468.73/x
  3. Step 3: Cross multiply
    1,209.50x = 1,813.25 × 468.73
  4. Step 4: Simplify right side
    1,209.50x = 849,924.67
  5. Step 5: Solve for x
    x = 849,924.67/1,209.50
  6. Step 6: Final answer
    x = 702.71

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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.