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Finding the Fourth Proportional to 768.91, 1,153.12 and 248.80

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Solution

The fourth proportional to 768.91, 1,153.12 and 248.80 is: 373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.91 : 1,153.12 = 248.80 : x
  2. Step 2: Convert to fraction form
    768.91/1,153.12 = 248.80/x
  3. Step 3: Cross multiply
    768.91x = 1,153.12 × 248.80
  4. Step 4: Simplify right side
    768.91x = 286,896.26
  5. Step 5: Solve for x
    x = 286,896.26/768.91
  6. Step 6: Final answer
    x = 373.12

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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.