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Finding the Fourth Proportional to 1,209.26, 1,812.87 and 468.49

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Solution

The fourth proportional to 1,209.26, 1,812.87 and 468.49 is: 702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.26 : 1,812.87 = 468.49 : x
  2. Step 2: Convert to fraction form
    1,209.26/1,812.87 = 468.49/x
  3. Step 3: Cross multiply
    1,209.26x = 1,812.87 × 468.49
  4. Step 4: Simplify right side
    1,209.26x = 849,306.93
  5. Step 5: Solve for x
    x = 849,306.93/1,209.26
  6. Step 6: Final answer
    x = 702.34

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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.