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Finding the Fourth Proportional to 946.56, 1,418.52 and 459.48

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Solution

The fourth proportional to 946.56, 1,418.52 and 459.48 is: 688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.56 : 1,418.52 = 459.48 : x
  2. Step 2: Convert to fraction form
    946.56/1,418.52 = 459.48/x
  3. Step 3: Cross multiply
    946.56x = 1,418.52 × 459.48
  4. Step 4: Simplify right side
    946.56x = 651,781.57
  5. Step 5: Solve for x
    x = 651,781.57/946.56
  6. Step 6: Final answer
    x = 688.58

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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.