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Finding the Fourth Proportional to 853.25, 1,177.49 and 503.94

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Solution

The fourth proportional to 853.25, 1,177.49 and 503.94 is: 695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.25 : 1,177.49 = 503.94 : x
  2. Step 2: Convert to fraction form
    853.25/1,177.49 = 503.94/x
  3. Step 3: Cross multiply
    853.25x = 1,177.49 × 503.94
  4. Step 4: Simplify right side
    853.25x = 593,381.79
  5. Step 5: Solve for x
    x = 593,381.79/853.25
  6. Step 6: Final answer
    x = 695.44

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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.