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Finding the Fourth Proportional to 876.93, 1,314.83 and 382.97

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Solution

The fourth proportional to 876.93, 1,314.83 and 382.97 is: 574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.93 : 1,314.83 = 382.97 : x
  2. Step 2: Convert to fraction form
    876.93/1,314.83 = 382.97/x
  3. Step 3: Cross multiply
    876.93x = 1,314.83 × 382.97
  4. Step 4: Simplify right side
    876.93x = 503,535.44
  5. Step 5: Solve for x
    x = 503,535.44/876.93
  6. Step 6: Final answer
    x = 574.21

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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.