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Finding the Fourth Proportional to 852.96, 1,174.77 and 705.54

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Solution

The fourth proportional to 852.96, 1,174.77 and 705.54 is: 971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.96 : 1,174.77 = 705.54 : x
  2. Step 2: Convert to fraction form
    852.96/1,174.77 = 705.54/x
  3. Step 3: Cross multiply
    852.96x = 1,174.77 × 705.54
  4. Step 4: Simplify right side
    852.96x = 828,847.23
  5. Step 5: Solve for x
    x = 828,847.23/852.96
  6. Step 6: Final answer
    x = 971.73

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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.