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Finding the Fourth Proportional to 851.87, 1,176.17 and 655.85

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Solution

The fourth proportional to 851.87, 1,176.17 and 655.85 is: 905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.87 : 1,176.17 = 655.85 : x
  2. Step 2: Convert to fraction form
    851.87/1,176.17 = 655.85/x
  3. Step 3: Cross multiply
    851.87x = 1,176.17 × 655.85
  4. Step 4: Simplify right side
    851.87x = 771,381.93
  5. Step 5: Solve for x
    x = 771,381.93/851.87
  6. Step 6: Final answer
    x = 905.52

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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.