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Finding the Fourth Proportional to 957.67, 1,321.08 and 564.47

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Solution

The fourth proportional to 957.67, 1,321.08 and 564.47 is: 778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.67 : 1,321.08 = 564.47 : x
  2. Step 2: Convert to fraction form
    957.67/1,321.08 = 564.47/x
  3. Step 3: Cross multiply
    957.67x = 1,321.08 × 564.47
  4. Step 4: Simplify right side
    957.67x = 745,711.02
  5. Step 5: Solve for x
    x = 745,711.02/957.67
  6. Step 6: Final answer
    x = 778.67

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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.