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Finding the Fourth Proportional to 782.04, 1,078.32 and 741

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Solution

The fourth proportional to 782.04, 1,078.32 and 741 is: 1,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.04 : 1,078.32 = 741 : x
  2. Step 2: Convert to fraction form
    782.04/1,078.32 = 741/x
  3. Step 3: Cross multiply
    782.04x = 1,078.32 × 741
  4. Step 4: Simplify right side
    782.04x = 799,035.12
  5. Step 5: Solve for x
    x = 799,035.12/782.04
  6. Step 6: Final answer
    x = 1,021.73

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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.