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Finding the Fourth Proportional to 769.71, 1,062.69 and 533.57

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Solution

The fourth proportional to 769.71, 1,062.69 and 533.57 is: 736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.71 : 1,062.69 = 533.57 : x
  2. Step 2: Convert to fraction form
    769.71/1,062.69 = 533.57/x
  3. Step 3: Cross multiply
    769.71x = 1,062.69 × 533.57
  4. Step 4: Simplify right side
    769.71x = 567,018.17
  5. Step 5: Solve for x
    x = 567,018.17/769.71
  6. Step 6: Final answer
    x = 736.67

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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.