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Finding the Fourth Proportional to 853.88, 1,178.64 and 573.93

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Solution

The fourth proportional to 853.88, 1,178.64 and 573.93 is: 792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.88 : 1,178.64 = 573.93 : x
  2. Step 2: Convert to fraction form
    853.88/1,178.64 = 573.93/x
  3. Step 3: Cross multiply
    853.88x = 1,178.64 × 573.93
  4. Step 4: Simplify right side
    853.88x = 676,456.86
  5. Step 5: Solve for x
    x = 676,456.86/853.88
  6. Step 6: Final answer
    x = 792.22

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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.