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Finding the Fourth Proportional to 794.24, 1,094.80 and 607.12

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Solution

The fourth proportional to 794.24, 1,094.80 and 607.12 is: 836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.24 : 1,094.80 = 607.12 : x
  2. Step 2: Convert to fraction form
    794.24/1,094.80 = 607.12/x
  3. Step 3: Cross multiply
    794.24x = 1,094.80 × 607.12
  4. Step 4: Simplify right side
    794.24x = 664,674.98
  5. Step 5: Solve for x
    x = 664,674.98/794.24
  6. Step 6: Final answer
    x = 836.87

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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.