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Finding the Fourth Proportional to 876.14, 1,314.45 and 299.06

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Solution

The fourth proportional to 876.14, 1,314.45 and 299.06 is: 448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.14 : 1,314.45 = 299.06 : x
  2. Step 2: Convert to fraction form
    876.14/1,314.45 = 299.06/x
  3. Step 3: Cross multiply
    876.14x = 1,314.45 × 299.06
  4. Step 4: Simplify right side
    876.14x = 393,099.42
  5. Step 5: Solve for x
    x = 393,099.42/876.14
  6. Step 6: Final answer
    x = 448.67

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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.