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Finding the Fourth Proportional to 946.30, 1,417.29 and 512.14

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Solution

The fourth proportional to 946.30, 1,417.29 and 512.14 is: 767.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.30 : 1,417.29 = 512.14 : x
  2. Step 2: Convert to fraction form
    946.30/1,417.29 = 512.14/x
  3. Step 3: Cross multiply
    946.30x = 1,417.29 × 512.14
  4. Step 4: Simplify right side
    946.30x = 725,850.90
  5. Step 5: Solve for x
    x = 725,850.90/946.30
  6. Step 6: Final answer
    x = 767.04

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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.