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Finding the Fourth Proportional to 946.31, 1,419.46 and 513.77

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Solution

The fourth proportional to 946.31, 1,419.46 and 513.77 is: 770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.31 : 1,419.46 = 513.77 : x
  2. Step 2: Convert to fraction form
    946.31/1,419.46 = 513.77/x
  3. Step 3: Cross multiply
    946.31x = 1,419.46 × 513.77
  4. Step 4: Simplify right side
    946.31x = 729,267.58
  5. Step 5: Solve for x
    x = 729,267.58/946.31
  6. Step 6: Final answer
    x = 770.65

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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.