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Finding the Fourth Proportional to 947.85, 1,308.03 and 533.85

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Solution

The fourth proportional to 947.85, 1,308.03 and 533.85 is: 736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.85 : 1,308.03 = 533.85 : x
  2. Step 2: Convert to fraction form
    947.85/1,308.03 = 533.85/x
  3. Step 3: Cross multiply
    947.85x = 1,308.03 × 533.85
  4. Step 4: Simplify right side
    947.85x = 698,282.61
  5. Step 5: Solve for x
    x = 698,282.61/947.85
  6. Step 6: Final answer
    x = 736.71

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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.