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Finding the Fourth Proportional to 1,034.07, 1,424.30 and 782.97

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Solution

The fourth proportional to 1,034.07, 1,424.30 and 782.97 is: 1,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.07 : 1,424.30 = 782.97 : x
  2. Step 2: Convert to fraction form
    1,034.07/1,424.30 = 782.97/x
  3. Step 3: Cross multiply
    1,034.07x = 1,424.30 × 782.97
  4. Step 4: Simplify right side
    1,034.07x = 1,115,180.26
  5. Step 5: Solve for x
    x = 1,115,180.26/1,034.07
  6. Step 6: Final answer
    x = 1,078.44

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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.