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Finding the Fourth Proportional to 876.20, 1,314.27 and 299.07

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Solution

The fourth proportional to 876.20, 1,314.27 and 299.07 is: 448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.20 : 1,314.27 = 299.07 : x
  2. Step 2: Convert to fraction form
    876.20/1,314.27 = 299.07/x
  3. Step 3: Cross multiply
    876.20x = 1,314.27 × 299.07
  4. Step 4: Simplify right side
    876.20x = 393,058.73
  5. Step 5: Solve for x
    x = 393,058.73/876.20
  6. Step 6: Final answer
    x = 448.60

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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.