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Finding the Fourth Proportional to 946.17, 1,416.23 and 506.33

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Solution

The fourth proportional to 946.17, 1,416.23 and 506.33 is: 757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.17 : 1,416.23 = 506.33 : x
  2. Step 2: Convert to fraction form
    946.17/1,416.23 = 506.33/x
  3. Step 3: Cross multiply
    946.17x = 1,416.23 × 506.33
  4. Step 4: Simplify right side
    946.17x = 717,070.12
  5. Step 5: Solve for x
    x = 717,070.12/946.17
  6. Step 6: Final answer
    x = 757.87

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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.