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Finding the Fourth Proportional to 1,294.12, 1,785.54 and 828.64

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Solution

The fourth proportional to 1,294.12, 1,785.54 and 828.64 is: 1,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.12 : 1,785.54 = 828.64 : x
  2. Step 2: Convert to fraction form
    1,294.12/1,785.54 = 828.64/x
  3. Step 3: Cross multiply
    1,294.12x = 1,785.54 × 828.64
  4. Step 4: Simplify right side
    1,294.12x = 1,479,569.87
  5. Step 5: Solve for x
    x = 1,479,569.87/1,294.12
  6. Step 6: Final answer
    x = 1,143.30

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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.