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Finding the Fourth Proportional to 945.89, 1,305.97 and 591.95

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Solution

The fourth proportional to 945.89, 1,305.97 and 591.95 is: 817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.89 : 1,305.97 = 591.95 : x
  2. Step 2: Convert to fraction form
    945.89/1,305.97 = 591.95/x
  3. Step 3: Cross multiply
    945.89x = 1,305.97 × 591.95
  4. Step 4: Simplify right side
    945.89x = 773,074.02
  5. Step 5: Solve for x
    x = 773,074.02/945.89
  6. Step 6: Final answer
    x = 817.30

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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.