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Finding the Fourth Proportional to 876.05, 1,313.93 and 382.67

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Solution

The fourth proportional to 876.05, 1,313.93 and 382.67 is: 573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.05 : 1,313.93 = 382.67 : x
  2. Step 2: Convert to fraction form
    876.05/1,313.93 = 382.67/x
  3. Step 3: Cross multiply
    876.05x = 1,313.93 × 382.67
  4. Step 4: Simplify right side
    876.05x = 502,795.98
  5. Step 5: Solve for x
    x = 502,795.98/876.05
  6. Step 6: Final answer
    x = 573.94

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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.