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Finding the Fourth Proportional to 946.86, 1,418.04 and 458.34

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Solution

The fourth proportional to 946.86, 1,418.04 and 458.34 is: 686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.86 : 1,418.04 = 458.34 : x
  2. Step 2: Convert to fraction form
    946.86/1,418.04 = 458.34/x
  3. Step 3: Cross multiply
    946.86x = 1,418.04 × 458.34
  4. Step 4: Simplify right side
    946.86x = 649,944.45
  5. Step 5: Solve for x
    x = 649,944.45/946.86
  6. Step 6: Final answer
    x = 686.42

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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.