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Finding the Fourth Proportional to 963.85, 1,330.82 and 591.34

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Solution

The fourth proportional to 963.85, 1,330.82 and 591.34 is: 816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.85 : 1,330.82 = 591.34 : x
  2. Step 2: Convert to fraction form
    963.85/1,330.82 = 591.34/x
  3. Step 3: Cross multiply
    963.85x = 1,330.82 × 591.34
  4. Step 4: Simplify right side
    963.85x = 786,967.10
  5. Step 5: Solve for x
    x = 786,967.10/963.85
  6. Step 6: Final answer
    x = 816.48

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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.