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Finding the Fourth Proportional to 630.96, 871.14 and 564.36

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Solution

The fourth proportional to 630.96, 871.14 and 564.36 is: 779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.96 : 871.14 = 564.36 : x
  2. Step 2: Convert to fraction form
    630.96/871.14 = 564.36/x
  3. Step 3: Cross multiply
    630.96x = 871.14 × 564.36
  4. Step 4: Simplify right side
    630.96x = 491,632.21
  5. Step 5: Solve for x
    x = 491,632.21/630.96
  6. Step 6: Final answer
    x = 779.19

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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.