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Finding the Fourth Proportional to 945.68, 1,305.16 and 531.76

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Solution

The fourth proportional to 945.68, 1,305.16 and 531.76 is: 733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.68 : 1,305.16 = 531.76 : x
  2. Step 2: Convert to fraction form
    945.68/1,305.16 = 531.76/x
  3. Step 3: Cross multiply
    945.68x = 1,305.16 × 531.76
  4. Step 4: Simplify right side
    945.68x = 694,031.88
  5. Step 5: Solve for x
    x = 694,031.88/945.68
  6. Step 6: Final answer
    x = 733.90

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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.