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Finding the Fourth Proportional to 1,735.19, 2,602.80 and 694.73

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Solution

The fourth proportional to 1,735.19, 2,602.80 and 694.73 is: 1,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.19 : 2,602.80 = 694.73 : x
  2. Step 2: Convert to fraction form
    1,735.19/2,602.80 = 694.73/x
  3. Step 3: Cross multiply
    1,735.19x = 2,602.80 × 694.73
  4. Step 4: Simplify right side
    1,735.19x = 1,808,243.24
  5. Step 5: Solve for x
    x = 1,808,243.24/1,735.19
  6. Step 6: Final answer
    x = 1,042.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.