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Finding the Fourth Proportional to 1,063.40, 1,463.40 and 813.74

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Solution

The fourth proportional to 1,063.40, 1,463.40 and 813.74 is: 1,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.40 : 1,463.40 = 813.74 : x
  2. Step 2: Convert to fraction form
    1,063.40/1,463.40 = 813.74/x
  3. Step 3: Cross multiply
    1,063.40x = 1,463.40 × 813.74
  4. Step 4: Simplify right side
    1,063.40x = 1,190,819.80
  5. Step 5: Solve for x
    x = 1,190,819.80/1,063.40
  6. Step 6: Final answer
    x = 1,119.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.