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Finding the Fourth Proportional to 946.77, 1,425.73 and 826.48

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Solution

The fourth proportional to 946.77, 1,425.73 and 826.48 is: 1,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.77 : 1,425.73 = 826.48 : x
  2. Step 2: Convert to fraction form
    946.77/1,425.73 = 826.48/x
  3. Step 3: Cross multiply
    946.77x = 1,425.73 × 826.48
  4. Step 4: Simplify right side
    946.77x = 1,178,337.33
  5. Step 5: Solve for x
    x = 1,178,337.33/946.77
  6. Step 6: Final answer
    x = 1,244.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.