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Finding the Fourth Proportional to 947.86, 1,308.03 and 533.86

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Solution

The fourth proportional to 947.86, 1,308.03 and 533.86 is: 736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.86 : 1,308.03 = 533.86 : x
  2. Step 2: Convert to fraction form
    947.86/1,308.03 = 533.86/x
  3. Step 3: Cross multiply
    947.86x = 1,308.03 × 533.86
  4. Step 4: Simplify right side
    947.86x = 698,304.90
  5. Step 5: Solve for x
    x = 698,304.90/947.86
  6. Step 6: Final answer
    x = 736.72

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