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Finding the Fourth Proportional to 949.76, 1,310.64 and 535.76

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Solution

The fourth proportional to 949.76, 1,310.64 and 535.76 is: 739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.76 : 1,310.64 = 535.76 : x
  2. Step 2: Convert to fraction form
    949.76/1,310.64 = 535.76/x
  3. Step 3: Cross multiply
    949.76x = 1,310.64 × 535.76
  4. Step 4: Simplify right side
    949.76x = 702,188.49
  5. Step 5: Solve for x
    x = 702,188.49/949.76
  6. Step 6: Final answer
    x = 739.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.