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Finding the Fourth Proportional to 852.72, 1,177.62 and 706.92

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Solution

The fourth proportional to 852.72, 1,177.62 and 706.92 is: 976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.72 : 1,177.62 = 706.92 : x
  2. Step 2: Convert to fraction form
    852.72/1,177.62 = 706.92/x
  3. Step 3: Cross multiply
    852.72x = 1,177.62 × 706.92
  4. Step 4: Simplify right side
    852.72x = 832,483.13
  5. Step 5: Solve for x
    x = 832,483.13/852.72
  6. Step 6: Final answer
    x = 976.27

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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.