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Finding the Fourth Proportional to 963.19, 1,329.46 and 564.94

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Solution

The fourth proportional to 963.19, 1,329.46 and 564.94 is: 779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.19 : 1,329.46 = 564.94 : x
  2. Step 2: Convert to fraction form
    963.19/1,329.46 = 564.94/x
  3. Step 3: Cross multiply
    963.19x = 1,329.46 × 564.94
  4. Step 4: Simplify right side
    963.19x = 751,060.40
  5. Step 5: Solve for x
    x = 751,060.40/963.19
  6. Step 6: Final answer
    x = 779.77

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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.