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Finding the Fourth Proportional to 876.26, 1,313.91 and 382.47

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Solution

The fourth proportional to 876.26, 1,313.91 and 382.47 is: 573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.26 : 1,313.91 = 382.47 : x
  2. Step 2: Convert to fraction form
    876.26/1,313.91 = 382.47/x
  3. Step 3: Cross multiply
    876.26x = 1,313.91 × 382.47
  4. Step 4: Simplify right side
    876.26x = 502,524.59
  5. Step 5: Solve for x
    x = 502,524.59/876.26
  6. Step 6: Final answer
    x = 573.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.