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Finding the Fourth Proportional to 852.83, 1,176.86 and 631.70

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Solution

The fourth proportional to 852.83, 1,176.86 and 631.70 is: 871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.83 : 1,176.86 = 631.70 : x
  2. Step 2: Convert to fraction form
    852.83/1,176.86 = 631.70/x
  3. Step 3: Cross multiply
    852.83x = 1,176.86 × 631.70
  4. Step 4: Simplify right side
    852.83x = 743,419.30
  5. Step 5: Solve for x
    x = 743,419.30/852.83
  6. Step 6: Final answer
    x = 871.71

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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.