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Finding the Fourth Proportional to 855.17, 1,177.08 and 633.74

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Solution

The fourth proportional to 855.17, 1,177.08 and 633.74 is: 872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.17 : 1,177.08 = 633.74 : x
  2. Step 2: Convert to fraction form
    855.17/1,177.08 = 633.74/x
  3. Step 3: Cross multiply
    855.17x = 1,177.08 × 633.74
  4. Step 4: Simplify right side
    855.17x = 745,956.79
  5. Step 5: Solve for x
    x = 745,956.79/855.17
  6. Step 6: Final answer
    x = 872.30

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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.