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Finding the Fourth Proportional to 851.97, 1,175.76 and 520.37

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Solution

The fourth proportional to 851.97, 1,175.76 and 520.37 is: 718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.97 : 1,175.76 = 520.37 : x
  2. Step 2: Convert to fraction form
    851.97/1,175.76 = 520.37/x
  3. Step 3: Cross multiply
    851.97x = 1,175.76 × 520.37
  4. Step 4: Simplify right side
    851.97x = 611,830.23
  5. Step 5: Solve for x
    x = 611,830.23/851.97
  6. Step 6: Final answer
    x = 718.14

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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.