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Finding the Fourth Proportional to 956.43, 1,435.23 and 546.03

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Solution

The fourth proportional to 956.43, 1,435.23 and 546.03 is: 819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.43 : 1,435.23 = 546.03 : x
  2. Step 2: Convert to fraction form
    956.43/1,435.23 = 546.03/x
  3. Step 3: Cross multiply
    956.43x = 1,435.23 × 546.03
  4. Step 4: Simplify right side
    956.43x = 783,678.64
  5. Step 5: Solve for x
    x = 783,678.64/956.43
  6. Step 6: Final answer
    x = 819.38

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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.