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Finding the Fourth Proportional to 832.35, 1,246.37 and 670.35

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Solution

The fourth proportional to 832.35, 1,246.37 and 670.35 is: 1,003.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.35 : 1,246.37 = 670.35 : x
  2. Step 2: Convert to fraction form
    832.35/1,246.37 = 670.35/x
  3. Step 3: Cross multiply
    832.35x = 1,246.37 × 670.35
  4. Step 4: Simplify right side
    832.35x = 835,500.78
  5. Step 5: Solve for x
    x = 835,500.78/832.35
  6. Step 6: Final answer
    x = 1,003.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.