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Finding the Fourth Proportional to 949.77, 1,423.04 and 517.23

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Solution

The fourth proportional to 949.77, 1,423.04 and 517.23 is: 774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.77 : 1,423.04 = 517.23 : x
  2. Step 2: Convert to fraction form
    949.77/1,423.04 = 517.23/x
  3. Step 3: Cross multiply
    949.77x = 1,423.04 × 517.23
  4. Step 4: Simplify right side
    949.77x = 736,036.39
  5. Step 5: Solve for x
    x = 736,036.39/949.77
  6. Step 6: Final answer
    x = 774.96

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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.