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Finding the Fourth Proportional to 1,228.13, 1,694.63 and 704.06

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Solution

The fourth proportional to 1,228.13, 1,694.63 and 704.06 is: 971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.13 : 1,694.63 = 704.06 : x
  2. Step 2: Convert to fraction form
    1,228.13/1,694.63 = 704.06/x
  3. Step 3: Cross multiply
    1,228.13x = 1,694.63 × 704.06
  4. Step 4: Simplify right side
    1,228.13x = 1,193,127.19
  5. Step 5: Solve for x
    x = 1,193,127.19/1,228.13
  6. Step 6: Final answer
    x = 971.50

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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.