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Finding the Fourth Proportional to 1,292.34, 1,782.86 and 768.26

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Solution

The fourth proportional to 1,292.34, 1,782.86 and 768.26 is: 1,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.34 : 1,782.86 = 768.26 : x
  2. Step 2: Convert to fraction form
    1,292.34/1,782.86 = 768.26/x
  3. Step 3: Cross multiply
    1,292.34x = 1,782.86 × 768.26
  4. Step 4: Simplify right side
    1,292.34x = 1,369,700.02
  5. Step 5: Solve for x
    x = 1,369,700.02/1,292.34
  6. Step 6: Final answer
    x = 1,059.86

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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.