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Finding the Fourth Proportional to 963.49, 1,329.67 and 543.84

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Solution

The fourth proportional to 963.49, 1,329.67 and 543.84 is: 750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.49 : 1,329.67 = 543.84 : x
  2. Step 2: Convert to fraction form
    963.49/1,329.67 = 543.84/x
  3. Step 3: Cross multiply
    963.49x = 1,329.67 × 543.84
  4. Step 4: Simplify right side
    963.49x = 723,119.72
  5. Step 5: Solve for x
    x = 723,119.72/963.49
  6. Step 6: Final answer
    x = 750.52

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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.