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Finding the Fourth Proportional to 957.33, 1,320.93 and 564.24

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Solution

The fourth proportional to 957.33, 1,320.93 and 564.24 is: 778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.33 : 1,320.93 = 564.24 : x
  2. Step 2: Convert to fraction form
    957.33/1,320.93 = 564.24/x
  3. Step 3: Cross multiply
    957.33x = 1,320.93 × 564.24
  4. Step 4: Simplify right side
    957.33x = 745,321.54
  5. Step 5: Solve for x
    x = 745,321.54/957.33
  6. Step 6: Final answer
    x = 778.54

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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.