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Finding the Fourth Proportional to 946.40, 1,419.53 and 513.56

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Solution

The fourth proportional to 946.40, 1,419.53 and 513.56 is: 770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.40 : 1,419.53 = 513.56 : x
  2. Step 2: Convert to fraction form
    946.40/1,419.53 = 513.56/x
  3. Step 3: Cross multiply
    946.40x = 1,419.53 × 513.56
  4. Step 4: Simplify right side
    946.40x = 729,014.81
  5. Step 5: Solve for x
    x = 729,014.81/946.40
  6. Step 6: Final answer
    x = 770.31

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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.