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Finding the Fourth Proportional to 926.31, 1,383.61 and 780.51

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Solution

The fourth proportional to 926.31, 1,383.61 and 780.51 is: 1,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.31 : 1,383.61 = 780.51 : x
  2. Step 2: Convert to fraction form
    926.31/1,383.61 = 780.51/x
  3. Step 3: Cross multiply
    926.31x = 1,383.61 × 780.51
  4. Step 4: Simplify right side
    926.31x = 1,079,919.49
  5. Step 5: Solve for x
    x = 1,079,919.49/926.31
  6. Step 6: Final answer
    x = 1,165.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.