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Finding the Fourth Proportional to 1,291.46, 1,782.54 and 794.46

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Solution

The fourth proportional to 1,291.46, 1,782.54 and 794.46 is: 1,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.46 : 1,782.54 = 794.46 : x
  2. Step 2: Convert to fraction form
    1,291.46/1,782.54 = 794.46/x
  3. Step 3: Cross multiply
    1,291.46x = 1,782.54 × 794.46
  4. Step 4: Simplify right side
    1,291.46x = 1,416,156.73
  5. Step 5: Solve for x
    x = 1,416,156.73/1,291.46
  6. Step 6: Final answer
    x = 1,096.55

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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.