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Finding the Fourth Proportional to 1,291.47, 1,782.12 and 760.27

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Solution

The fourth proportional to 1,291.47, 1,782.12 and 760.27 is: 1,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.47 : 1,782.12 = 760.27 : x
  2. Step 2: Convert to fraction form
    1,291.47/1,782.12 = 760.27/x
  3. Step 3: Cross multiply
    1,291.47x = 1,782.12 × 760.27
  4. Step 4: Simplify right side
    1,291.47x = 1,354,892.37
  5. Step 5: Solve for x
    x = 1,354,892.37/1,291.47
  6. Step 6: Final answer
    x = 1,049.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.