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Finding the Fourth Proportional to 851.43, 1,175.34 and 497.28

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Solution

The fourth proportional to 851.43, 1,175.34 and 497.28 is: 686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.43 : 1,175.34 = 497.28 : x
  2. Step 2: Convert to fraction form
    851.43/1,175.34 = 497.28/x
  3. Step 3: Cross multiply
    851.43x = 1,175.34 × 497.28
  4. Step 4: Simplify right side
    851.43x = 584,473.08
  5. Step 5: Solve for x
    x = 584,473.08/851.43
  6. Step 6: Final answer
    x = 686.46

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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.