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Finding the Fourth Proportional to 946.92, 1,418.96 and 458.94

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Solution

The fourth proportional to 946.92, 1,418.96 and 458.94 is: 687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.92 : 1,418.96 = 458.94 : x
  2. Step 2: Convert to fraction form
    946.92/1,418.96 = 458.94/x
  3. Step 3: Cross multiply
    946.92x = 1,418.96 × 458.94
  4. Step 4: Simplify right side
    946.92x = 651,217.50
  5. Step 5: Solve for x
    x = 651,217.50/946.92
  6. Step 6: Final answer
    x = 687.72

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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.