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Finding the Fourth Proportional to 876.29, 1,313.42 and 682.70

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Solution

The fourth proportional to 876.29, 1,313.42 and 682.70 is: 1,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.29 : 1,313.42 = 682.70 : x
  2. Step 2: Convert to fraction form
    876.29/1,313.42 = 682.70/x
  3. Step 3: Cross multiply
    876.29x = 1,313.42 × 682.70
  4. Step 4: Simplify right side
    876.29x = 896,661.85
  5. Step 5: Solve for x
    x = 896,661.85/876.29
  6. Step 6: Final answer
    x = 1,023.25

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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.