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Finding the Fourth Proportional to 1,332.21, 1,838.68 and 835.27

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Solution

The fourth proportional to 1,332.21, 1,838.68 and 835.27 is: 1,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.21 : 1,838.68 = 835.27 : x
  2. Step 2: Convert to fraction form
    1,332.21/1,838.68 = 835.27/x
  3. Step 3: Cross multiply
    1,332.21x = 1,838.68 × 835.27
  4. Step 4: Simplify right side
    1,332.21x = 1,535,799.88
  5. Step 5: Solve for x
    x = 1,535,799.88/1,332.21
  6. Step 6: Final answer
    x = 1,152.82

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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.