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Finding the Fourth Proportional to 1,098.24, 1,646.82 and 404.43

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Solution

The fourth proportional to 1,098.24, 1,646.82 and 404.43 is: 606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.24 : 1,646.82 = 404.43 : x
  2. Step 2: Convert to fraction form
    1,098.24/1,646.82 = 404.43/x
  3. Step 3: Cross multiply
    1,098.24x = 1,646.82 × 404.43
  4. Step 4: Simplify right side
    1,098.24x = 666,023.41
  5. Step 5: Solve for x
    x = 666,023.41/1,098.24
  6. Step 6: Final answer
    x = 606.45

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