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Finding the Fourth Proportional to 876.12, 1,208.88 and 596.88

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Solution

The fourth proportional to 876.12, 1,208.88 and 596.88 is: 823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.12 : 1,208.88 = 596.88 : x
  2. Step 2: Convert to fraction form
    876.12/1,208.88 = 596.88/x
  3. Step 3: Cross multiply
    876.12x = 1,208.88 × 596.88
  4. Step 4: Simplify right side
    876.12x = 721,556.29
  5. Step 5: Solve for x
    x = 721,556.29/876.12
  6. Step 6: Final answer
    x = 823.58

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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.