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Finding the Fourth Proportional to 876, 1,208.88 and 526.68

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Solution

The fourth proportional to 876, 1,208.88 and 526.68 is: 726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    876 : 1,208.88 = 526.68 : x
  2. Step 2: Convert to fraction form
    876/1,208.88 = 526.68/x
  3. Step 3: Cross multiply
    876x = 1,208.88 × 526.68
  4. Step 4: Simplify right side
    876x = 636,692.92
  5. Step 5: Solve for x
    x = 636,692.92/876
  6. Step 6: Final answer
    x = 726.82

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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.