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Finding the Fourth Proportional to 853.39, 1,177.68 and 504.10

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Solution

The fourth proportional to 853.39, 1,177.68 and 504.10 is: 695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.39 : 1,177.68 = 504.10 : x
  2. Step 2: Convert to fraction form
    853.39/1,177.68 = 504.10/x
  3. Step 3: Cross multiply
    853.39x = 1,177.68 × 504.10
  4. Step 4: Simplify right side
    853.39x = 593,668.49
  5. Step 5: Solve for x
    x = 593,668.49/853.39
  6. Step 6: Final answer
    x = 695.66

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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.