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Finding the Fourth Proportional to 814.92, 1,222.37 and 678.06

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Solution

The fourth proportional to 814.92, 1,222.37 and 678.06 is: 1,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.92 : 1,222.37 = 678.06 : x
  2. Step 2: Convert to fraction form
    814.92/1,222.37 = 678.06/x
  3. Step 3: Cross multiply
    814.92x = 1,222.37 × 678.06
  4. Step 4: Simplify right side
    814.92x = 828,836.81
  5. Step 5: Solve for x
    x = 828,836.81/814.92
  6. Step 6: Final answer
    x = 1,017.08

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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.