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Finding the Fourth Proportional to 963.06, 1,329.30 and 565.08

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Solution

The fourth proportional to 963.06, 1,329.30 and 565.08 is: 779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.06 : 1,329.30 = 565.08 : x
  2. Step 2: Convert to fraction form
    963.06/1,329.30 = 565.08/x
  3. Step 3: Cross multiply
    963.06x = 1,329.30 × 565.08
  4. Step 4: Simplify right side
    963.06x = 751,160.84
  5. Step 5: Solve for x
    x = 751,160.84/963.06
  6. Step 6: Final answer
    x = 779.97

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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.