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Finding the Fourth Proportional to 946.24, 1,416.32 and 506.39

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Solution

The fourth proportional to 946.24, 1,416.32 and 506.39 is: 757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.24 : 1,416.32 = 506.39 : x
  2. Step 2: Convert to fraction form
    946.24/1,416.32 = 506.39/x
  3. Step 3: Cross multiply
    946.24x = 1,416.32 × 506.39
  4. Step 4: Simplify right side
    946.24x = 717,210.54
  5. Step 5: Solve for x
    x = 717,210.54/946.24
  6. Step 6: Final answer
    x = 757.96

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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.