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Finding the Fourth Proportional to 1,228.40, 1,694.96 and 704.32

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Solution

The fourth proportional to 1,228.40, 1,694.96 and 704.32 is: 971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.40 : 1,694.96 = 704.32 : x
  2. Step 2: Convert to fraction form
    1,228.40/1,694.96 = 704.32/x
  3. Step 3: Cross multiply
    1,228.40x = 1,694.96 × 704.32
  4. Step 4: Simplify right side
    1,228.40x = 1,193,794.23
  5. Step 5: Solve for x
    x = 1,193,794.23/1,228.40
  6. Step 6: Final answer
    x = 971.83

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1.5x scale

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.