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Finding the Fourth Proportional to 946.46, 1,419.39 and 824.96

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Solution

The fourth proportional to 946.46, 1,419.39 and 824.96 is: 1,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.46 : 1,419.39 = 824.96 : x
  2. Step 2: Convert to fraction form
    946.46/1,419.39 = 824.96/x
  3. Step 3: Cross multiply
    946.46x = 1,419.39 × 824.96
  4. Step 4: Simplify right side
    946.46x = 1,170,943.52
  5. Step 5: Solve for x
    x = 1,170,943.52/946.46
  6. Step 6: Final answer
    x = 1,237.18

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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.