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Finding the Fourth Proportional to 946.22, 1,420.64 and 484.31

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Solution

The fourth proportional to 946.22, 1,420.64 and 484.31 is: 727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.22 : 1,420.64 = 484.31 : x
  2. Step 2: Convert to fraction form
    946.22/1,420.64 = 484.31/x
  3. Step 3: Cross multiply
    946.22x = 1,420.64 × 484.31
  4. Step 4: Simplify right side
    946.22x = 688,020.63
  5. Step 5: Solve for x
    x = 688,020.63/946.22
  6. Step 6: Final answer
    x = 727.13

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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.