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Finding the Fourth Proportional to 1,293.34, 1,784 and 769

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Solution

The fourth proportional to 1,293.34, 1,784 and 769 is: 1,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.34 : 1,784 = 769 : x
  2. Step 2: Convert to fraction form
    1,293.34/1,784 = 769/x
  3. Step 3: Cross multiply
    1,293.34x = 1,784 × 769
  4. Step 4: Simplify right side
    1,293.34x = 1,371,896
  5. Step 5: Solve for x
    x = 1,371,896/1,293.34
  6. Step 6: Final answer
    x = 1,060.74

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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.