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Finding the Fourth Proportional to 1,291.34, 1,782.36 and 794.30

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Solution

The fourth proportional to 1,291.34, 1,782.36 and 794.30 is: 1,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.34 : 1,782.36 = 794.30 : x
  2. Step 2: Convert to fraction form
    1,291.34/1,782.36 = 794.30/x
  3. Step 3: Cross multiply
    1,291.34x = 1,782.36 × 794.30
  4. Step 4: Simplify right side
    1,291.34x = 1,415,728.55
  5. Step 5: Solve for x
    x = 1,415,728.55/1,291.34
  6. Step 6: Final answer
    x = 1,096.33

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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.