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Finding the Fourth Proportional to 768.98, 1,153.61 and 282.07

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Solution

The fourth proportional to 768.98, 1,153.61 and 282.07 is: 423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.98 : 1,153.61 = 282.07 : x
  2. Step 2: Convert to fraction form
    768.98/1,153.61 = 282.07/x
  3. Step 3: Cross multiply
    768.98x = 1,153.61 × 282.07
  4. Step 4: Simplify right side
    768.98x = 325,396.59
  5. Step 5: Solve for x
    x = 325,396.59/768.98
  6. Step 6: Final answer
    x = 423.16

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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.