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Finding the Fourth Proportional to 852.60, 1,175.52 and 712.92

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Solution

The fourth proportional to 852.60, 1,175.52 and 712.92 is: 982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.60 : 1,175.52 = 712.92 : x
  2. Step 2: Convert to fraction form
    852.60/1,175.52 = 712.92/x
  3. Step 3: Cross multiply
    852.60x = 1,175.52 × 712.92
  4. Step 4: Simplify right side
    852.60x = 838,051.72
  5. Step 5: Solve for x
    x = 838,051.72/852.60
  6. Step 6: Final answer
    x = 982.94

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Double scale
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1.5x scale

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.