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Finding the Fourth Proportional to 852.31, 1,176.01 and 520.75

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Solution

The fourth proportional to 852.31, 1,176.01 and 520.75 is: 718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.31 : 1,176.01 = 520.75 : x
  2. Step 2: Convert to fraction form
    852.31/1,176.01 = 520.75/x
  3. Step 3: Cross multiply
    852.31x = 1,176.01 × 520.75
  4. Step 4: Simplify right side
    852.31x = 612,407.21
  5. Step 5: Solve for x
    x = 612,407.21/852.31
  6. Step 6: Final answer
    x = 718.53

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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.