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Finding the Fourth Proportional to 1,332.66, 1,838.75 and 878.37

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Solution

The fourth proportional to 1,332.66, 1,838.75 and 878.37 is: 1,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.66 : 1,838.75 = 878.37 : x
  2. Step 2: Convert to fraction form
    1,332.66/1,838.75 = 878.37/x
  3. Step 3: Cross multiply
    1,332.66x = 1,838.75 × 878.37
  4. Step 4: Simplify right side
    1,332.66x = 1,615,098.45
  5. Step 5: Solve for x
    x = 1,615,098.45/1,332.66
  6. Step 6: Final answer
    x = 1,211.94

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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.