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Finding the Fourth Proportional to 951.17, 1,423.10 and 540.50

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Solution

The fourth proportional to 951.17, 1,423.10 and 540.50 is: 808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.17 : 1,423.10 = 540.50 : x
  2. Step 2: Convert to fraction form
    951.17/1,423.10 = 540.50/x
  3. Step 3: Cross multiply
    951.17x = 1,423.10 × 540.50
  4. Step 4: Simplify right side
    951.17x = 769,179.79
  5. Step 5: Solve for x
    x = 769,179.79/951.17
  6. Step 6: Final answer
    x = 808.67

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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.