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Finding the Fourth Proportional to 832.50, 1,247.36 and 678.74

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Solution

The fourth proportional to 832.50, 1,247.36 and 678.74 is: 1,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.50 : 1,247.36 = 678.74 : x
  2. Step 2: Convert to fraction form
    832.50/1,247.36 = 678.74/x
  3. Step 3: Cross multiply
    832.50x = 1,247.36 × 678.74
  4. Step 4: Simplify right side
    832.50x = 846,623.50
  5. Step 5: Solve for x
    x = 846,623.50/832.50
  6. Step 6: Final answer
    x = 1,016.97

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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.