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Finding the Fourth Proportional to 853.65, 1,177.45 and 825.08

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Solution

The fourth proportional to 853.65, 1,177.45 and 825.08 is: 1,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.65 : 1,177.45 = 825.08 : x
  2. Step 2: Convert to fraction form
    853.65/1,177.45 = 825.08/x
  3. Step 3: Cross multiply
    853.65x = 1,177.45 × 825.08
  4. Step 4: Simplify right side
    853.65x = 971,490.45
  5. Step 5: Solve for x
    x = 971,490.45/853.65
  6. Step 6: Final answer
    x = 1,138.04

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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.