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Finding the Fourth Proportional to 1,340.94, 1,848.72 and 966.75

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Solution

The fourth proportional to 1,340.94, 1,848.72 and 966.75 is: 1,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.94 : 1,848.72 = 966.75 : x
  2. Step 2: Convert to fraction form
    1,340.94/1,848.72 = 966.75/x
  3. Step 3: Cross multiply
    1,340.94x = 1,848.72 × 966.75
  4. Step 4: Simplify right side
    1,340.94x = 1,787,250.06
  5. Step 5: Solve for x
    x = 1,787,250.06/1,340.94
  6. Step 6: Final answer
    x = 1,332.83

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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.