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Finding the Fourth Proportional to 946.52, 1,419.80 and 452.39

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Solution

The fourth proportional to 946.52, 1,419.80 and 452.39 is: 678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.52 : 1,419.80 = 452.39 : x
  2. Step 2: Convert to fraction form
    946.52/1,419.80 = 452.39/x
  3. Step 3: Cross multiply
    946.52x = 1,419.80 × 452.39
  4. Step 4: Simplify right side
    946.52x = 642,293.96
  5. Step 5: Solve for x
    x = 642,293.96/946.52
  6. Step 6: Final answer
    x = 678.59

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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.