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Finding the Fourth Proportional to 1,098.29, 1,645.70 and 404.00

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Solution

The fourth proportional to 1,098.29, 1,645.70 and 404.00 is: 605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.29 : 1,645.70 = 404.00 : x
  2. Step 2: Convert to fraction form
    1,098.29/1,645.70 = 404.00/x
  3. Step 3: Cross multiply
    1,098.29x = 1,645.70 × 404.00
  4. Step 4: Simplify right side
    1,098.29x = 664,852.55
  5. Step 5: Solve for x
    x = 664,852.55/1,098.29
  6. Step 6: Final answer
    x = 605.36

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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.