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Finding the Fourth Proportional to 766.13, 1,144.69 and 556.88

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Solution

The fourth proportional to 766.13, 1,144.69 and 556.88 is: 832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.13 : 1,144.69 = 556.88 : x
  2. Step 2: Convert to fraction form
    766.13/1,144.69 = 556.88/x
  3. Step 3: Cross multiply
    766.13x = 1,144.69 × 556.88
  4. Step 4: Simplify right side
    766.13x = 637,447.85
  5. Step 5: Solve for x
    x = 637,447.85/766.13
  6. Step 6: Final answer
    x = 832.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.