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Finding the Fourth Proportional to 1,232.79, 1,701.86 and 785.11

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Solution

The fourth proportional to 1,232.79, 1,701.86 and 785.11 is: 1,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.79 : 1,701.86 = 785.11 : x
  2. Step 2: Convert to fraction form
    1,232.79/1,701.86 = 785.11/x
  3. Step 3: Cross multiply
    1,232.79x = 1,701.86 × 785.11
  4. Step 4: Simplify right side
    1,232.79x = 1,336,146.73
  5. Step 5: Solve for x
    x = 1,336,146.73/1,232.79
  6. Step 6: Final answer
    x = 1,083.84

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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.