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Finding the Fourth Proportional to 781.94, 1,173.18 and 562.16

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Solution

The fourth proportional to 781.94, 1,173.18 and 562.16 is: 843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.94 : 1,173.18 = 562.16 : x
  2. Step 2: Convert to fraction form
    781.94/1,173.18 = 562.16/x
  3. Step 3: Cross multiply
    781.94x = 1,173.18 × 562.16
  4. Step 4: Simplify right side
    781.94x = 659,514.87
  5. Step 5: Solve for x
    x = 659,514.87/781.94
  6. Step 6: Final answer
    x = 843.43

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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.