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Finding the Fourth Proportional to 957.05, 1,320.73 and 564.07

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Solution

The fourth proportional to 957.05, 1,320.73 and 564.07 is: 778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.05 : 1,320.73 = 564.07 : x
  2. Step 2: Convert to fraction form
    957.05/1,320.73 = 564.07/x
  3. Step 3: Cross multiply
    957.05x = 1,320.73 × 564.07
  4. Step 4: Simplify right side
    957.05x = 744,977.57
  5. Step 5: Solve for x
    x = 744,977.57/957.05
  6. Step 6: Final answer
    x = 778.41

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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.