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Finding the Fourth Proportional to 946.96, 1,419.20 and 459.34

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Solution

The fourth proportional to 946.96, 1,419.20 and 459.34 is: 688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.96 : 1,419.20 = 459.34 : x
  2. Step 2: Convert to fraction form
    946.96/1,419.20 = 459.34/x
  3. Step 3: Cross multiply
    946.96x = 1,419.20 × 459.34
  4. Step 4: Simplify right side
    946.96x = 651,895.33
  5. Step 5: Solve for x
    x = 651,895.33/946.96
  6. Step 6: Final answer
    x = 688.41

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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.