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Finding the Fourth Proportional to 792.46, 1,185.72 and 655.57

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Solution

The fourth proportional to 792.46, 1,185.72 and 655.57 is: 980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.46 : 1,185.72 = 655.57 : x
  2. Step 2: Convert to fraction form
    792.46/1,185.72 = 655.57/x
  3. Step 3: Cross multiply
    792.46x = 1,185.72 × 655.57
  4. Step 4: Simplify right side
    792.46x = 777,322.46
  5. Step 5: Solve for x
    x = 777,322.46/792.46
  6. Step 6: Final answer
    x = 980.90

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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.