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Finding the Fourth Proportional to 853.38, 1,178.82 and 669.20

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Solution

The fourth proportional to 853.38, 1,178.82 and 669.20 is: 924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.38 : 1,178.82 = 669.20 : x
  2. Step 2: Convert to fraction form
    853.38/1,178.82 = 669.20/x
  3. Step 3: Cross multiply
    853.38x = 1,178.82 × 669.20
  4. Step 4: Simplify right side
    853.38x = 788,860.45
  5. Step 5: Solve for x
    x = 788,860.45/853.38
  6. Step 6: Final answer
    x = 924.40

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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.