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Finding the Fourth Proportional to 957.21, 1,320.98 and 564.27

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Solution

The fourth proportional to 957.21, 1,320.98 and 564.27 is: 778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.21 : 1,320.98 = 564.27 : x
  2. Step 2: Convert to fraction form
    957.21/1,320.98 = 564.27/x
  3. Step 3: Cross multiply
    957.21x = 1,320.98 × 564.27
  4. Step 4: Simplify right side
    957.21x = 745,386.56
  5. Step 5: Solve for x
    x = 745,386.56/957.21
  6. Step 6: Final answer
    x = 778.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.