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Finding the Fourth Proportional to 946.42, 1,416.78 and 512.26

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Solution

The fourth proportional to 946.42, 1,416.78 and 512.26 is: 766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.42 : 1,416.78 = 512.26 : x
  2. Step 2: Convert to fraction form
    946.42/1,416.78 = 512.26/x
  3. Step 3: Cross multiply
    946.42x = 1,416.78 × 512.26
  4. Step 4: Simplify right side
    946.42x = 725,759.72
  5. Step 5: Solve for x
    x = 725,759.72/946.42
  6. Step 6: Final answer
    x = 766.85

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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.