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Finding the Fourth Proportional to 768.90, 1,153.53 and 281.96

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Solution

The fourth proportional to 768.90, 1,153.53 and 281.96 is: 423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.90 : 1,153.53 = 281.96 : x
  2. Step 2: Convert to fraction form
    768.90/1,153.53 = 281.96/x
  3. Step 3: Cross multiply
    768.90x = 1,153.53 × 281.96
  4. Step 4: Simplify right side
    768.90x = 325,247.88
  5. Step 5: Solve for x
    x = 325,247.88/768.90
  6. Step 6: Final answer
    x = 423.00

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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.