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Finding the Fourth Proportional to 949.79, 1,423.84 and 511.28

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Solution

The fourth proportional to 949.79, 1,423.84 and 511.28 is: 766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.79 : 1,423.84 = 511.28 : x
  2. Step 2: Convert to fraction form
    949.79/1,423.84 = 511.28/x
  3. Step 3: Cross multiply
    949.79x = 1,423.84 × 511.28
  4. Step 4: Simplify right side
    949.79x = 727,976.08
  5. Step 5: Solve for x
    x = 727,976.08/949.79
  6. Step 6: Final answer
    x = 766.46

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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.