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Finding the Fourth Proportional to 876.63, 1,314.81 and 356.88

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Solution

The fourth proportional to 876.63, 1,314.81 and 356.88 is: 535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.63 : 1,314.81 = 356.88 : x
  2. Step 2: Convert to fraction form
    876.63/1,314.81 = 356.88/x
  3. Step 3: Cross multiply
    876.63x = 1,314.81 × 356.88
  4. Step 4: Simplify right side
    876.63x = 469,229.39
  5. Step 5: Solve for x
    x = 469,229.39/876.63
  6. Step 6: Final answer
    x = 535.27

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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.