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Finding the Fourth Proportional to 946.70, 1,420.04 and 516.58

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Solution

The fourth proportional to 946.70, 1,420.04 and 516.58 is: 774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.70 : 1,420.04 = 516.58 : x
  2. Step 2: Convert to fraction form
    946.70/1,420.04 = 516.58/x
  3. Step 3: Cross multiply
    946.70x = 1,420.04 × 516.58
  4. Step 4: Simplify right side
    946.70x = 733,564.26
  5. Step 5: Solve for x
    x = 733,564.26/946.70
  6. Step 6: Final answer
    x = 774.86

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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.