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Finding the Fourth Proportional to 1,201.82, 1,794.47 and 1,070.30

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Solution

The fourth proportional to 1,201.82, 1,794.47 and 1,070.30 is: 1,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.82 : 1,794.47 = 1,070.30 : x
  2. Step 2: Convert to fraction form
    1,201.82/1,794.47 = 1,070.30/x
  3. Step 3: Cross multiply
    1,201.82x = 1,794.47 × 1,070.30
  4. Step 4: Simplify right side
    1,201.82x = 1,920,606.92
  5. Step 5: Solve for x
    x = 1,920,606.92/1,201.82
  6. Step 6: Final answer
    x = 1,598.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.