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Finding the Fourth Proportional to 946.50, 1,419.84 and 837.83

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Solution

The fourth proportional to 946.50, 1,419.84 and 837.83 is: 1,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.50 : 1,419.84 = 837.83 : x
  2. Step 2: Convert to fraction form
    946.50/1,419.84 = 837.83/x
  3. Step 3: Cross multiply
    946.50x = 1,419.84 × 837.83
  4. Step 4: Simplify right side
    946.50x = 1,189,577.45
  5. Step 5: Solve for x
    x = 1,189,577.45/946.50
  6. Step 6: Final answer
    x = 1,256.82

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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.