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Finding the Fourth Proportional to 674.72, 1,012.08 and 539.86

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Solution

The fourth proportional to 674.72, 1,012.08 and 539.86 is: 809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.72 : 1,012.08 = 539.86 : x
  2. Step 2: Convert to fraction form
    674.72/1,012.08 = 539.86/x
  3. Step 3: Cross multiply
    674.72x = 1,012.08 × 539.86
  4. Step 4: Simplify right side
    674.72x = 546,381.51
  5. Step 5: Solve for x
    x = 546,381.51/674.72
  6. Step 6: Final answer
    x = 809.79

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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.