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Finding the Fourth Proportional to 957.69, 1,321.65 and 564.84

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Solution

The fourth proportional to 957.69, 1,321.65 and 564.84 is: 779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.69 : 1,321.65 = 564.84 : x
  2. Step 2: Convert to fraction form
    957.69/1,321.65 = 564.84/x
  3. Step 3: Cross multiply
    957.69x = 1,321.65 × 564.84
  4. Step 4: Simplify right side
    957.69x = 746,520.79
  5. Step 5: Solve for x
    x = 746,520.79/957.69
  6. Step 6: Final answer
    x = 779.50

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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.