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Finding the Fourth Proportional to 949.88, 1,423.86 and 766.88

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Solution

The fourth proportional to 949.88, 1,423.86 and 766.88 is: 1,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.88 : 1,423.86 = 766.88 : x
  2. Step 2: Convert to fraction form
    949.88/1,423.86 = 766.88/x
  3. Step 3: Cross multiply
    949.88x = 1,423.86 × 766.88
  4. Step 4: Simplify right side
    949.88x = 1,091,929.76
  5. Step 5: Solve for x
    x = 1,091,929.76/949.88
  6. Step 6: Final answer
    x = 1,149.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.