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Finding the Fourth Proportional to 876.63, 1,313.82 and 465.96

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Solution

The fourth proportional to 876.63, 1,313.82 and 465.96 is: 698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.63 : 1,313.82 = 465.96 : x
  2. Step 2: Convert to fraction form
    876.63/1,313.82 = 465.96/x
  3. Step 3: Cross multiply
    876.63x = 1,313.82 × 465.96
  4. Step 4: Simplify right side
    876.63x = 612,187.57
  5. Step 5: Solve for x
    x = 612,187.57/876.63
  6. Step 6: Final answer
    x = 698.34

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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.