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Finding the Fourth Proportional to 949.72, 1,423.74 and 517.24

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Solution

The fourth proportional to 949.72, 1,423.74 and 517.24 is: 775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.72 : 1,423.74 = 517.24 : x
  2. Step 2: Convert to fraction form
    949.72/1,423.74 = 517.24/x
  3. Step 3: Cross multiply
    949.72x = 1,423.74 × 517.24
  4. Step 4: Simplify right side
    949.72x = 736,415.28
  5. Step 5: Solve for x
    x = 736,415.28/949.72
  6. Step 6: Final answer
    x = 775.40

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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.