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Finding the Fourth Proportional to 963.40, 1,329.50 and 564.98

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Solution

The fourth proportional to 963.40, 1,329.50 and 564.98 is: 779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.40 : 1,329.50 = 564.98 : x
  2. Step 2: Convert to fraction form
    963.40/1,329.50 = 564.98/x
  3. Step 3: Cross multiply
    963.40x = 1,329.50 × 564.98
  4. Step 4: Simplify right side
    963.40x = 751,134.26
  5. Step 5: Solve for x
    x = 751,134.26/963.40
  6. Step 6: Final answer
    x = 779.67

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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.