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Finding the Fourth Proportional to 946.10, 1,414.16 and 821.72

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Solution

The fourth proportional to 946.10, 1,414.16 and 821.72 is: 1,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.10 : 1,414.16 = 821.72 : x
  2. Step 2: Convert to fraction form
    946.10/1,414.16 = 821.72/x
  3. Step 3: Cross multiply
    946.10x = 1,414.16 × 821.72
  4. Step 4: Simplify right side
    946.10x = 1,162,043.56
  5. Step 5: Solve for x
    x = 1,162,043.56/946.10
  6. Step 6: Final answer
    x = 1,228.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.