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Finding the Fourth Proportional to 924.13, 1,274.34 and 746.92

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Solution

The fourth proportional to 924.13, 1,274.34 and 746.92 is: 1,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.13 : 1,274.34 = 746.92 : x
  2. Step 2: Convert to fraction form
    924.13/1,274.34 = 746.92/x
  3. Step 3: Cross multiply
    924.13x = 1,274.34 × 746.92
  4. Step 4: Simplify right side
    924.13x = 951,830.03
  5. Step 5: Solve for x
    x = 951,830.03/924.13
  6. Step 6: Final answer
    x = 1,029.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.