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Finding the Fourth Proportional to 854.09, 1,178.68 and 559.65

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Solution

The fourth proportional to 854.09, 1,178.68 and 559.65 is: 772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.09 : 1,178.68 = 559.65 : x
  2. Step 2: Convert to fraction form
    854.09/1,178.68 = 559.65/x
  3. Step 3: Cross multiply
    854.09x = 1,178.68 × 559.65
  4. Step 4: Simplify right side
    854.09x = 659,646.86
  5. Step 5: Solve for x
    x = 659,646.86/854.09
  6. Step 6: Final answer
    x = 772.34

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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.