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Finding the Fourth Proportional to 1,337.83, 1,846.34 and 770.68

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Solution

The fourth proportional to 1,337.83, 1,846.34 and 770.68 is: 1,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.83 : 1,846.34 = 770.68 : x
  2. Step 2: Convert to fraction form
    1,337.83/1,846.34 = 770.68/x
  3. Step 3: Cross multiply
    1,337.83x = 1,846.34 × 770.68
  4. Step 4: Simplify right side
    1,337.83x = 1,422,938.66
  5. Step 5: Solve for x
    x = 1,422,938.66/1,337.83
  6. Step 6: Final answer
    x = 1,063.62

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