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Finding the Fourth Proportional to 852.32, 1,276.42 and 754.94

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Solution

The fourth proportional to 852.32, 1,276.42 and 754.94 is: 1,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.32 : 1,276.42 = 754.94 : x
  2. Step 2: Convert to fraction form
    852.32/1,276.42 = 754.94/x
  3. Step 3: Cross multiply
    852.32x = 1,276.42 × 754.94
  4. Step 4: Simplify right side
    852.32x = 963,620.51
  5. Step 5: Solve for x
    x = 963,620.51/852.32
  6. Step 6: Final answer
    x = 1,130.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.