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Finding the Fourth Proportional to 936.47, 1,291.56 and 913.92

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Solution

The fourth proportional to 936.47, 1,291.56 and 913.92 is: 1,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.47 : 1,291.56 = 913.92 : x
  2. Step 2: Convert to fraction form
    936.47/1,291.56 = 913.92/x
  3. Step 3: Cross multiply
    936.47x = 1,291.56 × 913.92
  4. Step 4: Simplify right side
    936.47x = 1,180,382.52
  5. Step 5: Solve for x
    x = 1,180,382.52/936.47
  6. Step 6: Final answer
    x = 1,260.46

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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.